Extrapolation and optimal decompositions: with applications to analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1994
|
| Schriftenreihe: | Lecture notes in mathematics
1580 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 159 S. |
| ISBN: | 3540580816 0387580816 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV009620297 | ||
| 003 | DE-604 | ||
| 005 | 20080208 | ||
| 007 | t | ||
| 008 | 940524s1994 gw |||| 00||| eng d | ||
| 016 | 7 | |a 941102386 |2 DE-101 | |
| 020 | |a 3540580816 |9 3-540-58081-6 | ||
| 020 | |a 0387580816 |9 0-387-58081-6 | ||
| 035 | |a (OCoLC)844305047 | ||
| 035 | |a (DE-599)BVBBV009620297 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-20 |a DE-384 |a DE-91G |a DE-824 |a DE-355 |a DE-12 |a DE-19 |a DE-706 |a DE-634 |a DE-11 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 511/.42 |2 20 | |
| 082 | 0 | |a 510 |2 20 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a MAT 411f |2 stub | ||
| 084 | |a 46M35 |2 msc | ||
| 100 | 1 | |a Milman, Mario |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Extrapolation and optimal decompositions |b with applications to analysis |c Mario Milman |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
| 300 | |a XI, 159 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1580 | |
| 650 | 7 | |a Approximation, Théorie de l' |2 ram | |
| 650 | 7 | |a Categorieën (wiskunde) |2 gtt | |
| 650 | 4 | |a Décomposition (Mathématiques) | |
| 650 | 7 | |a Décomposition (mathématiques) |2 ram | |
| 650 | 0 | |a Décomposition optimale | |
| 650 | 0 | |a Espace Zafran | |
| 650 | 0 | |a Espace extrapolation | |
| 650 | 7 | |a Espaces d'interpolation |2 ram | |
| 650 | 4 | |a Extrapolation | |
| 650 | 7 | |a Functionaalanalyse |2 gtt | |
| 650 | 7 | |a Hilbertruimten |2 gtt | |
| 650 | 0 | |a Interpolation | |
| 650 | 0 | |a Itération Nash-Moser | |
| 650 | 4 | |a Plongements (Mathématiques) | |
| 650 | 0 | |a Théorème Cwikel | |
| 650 | 0 | |a Théorème plongement Sobolev | |
| 650 | 4 | |a Decomposition (Mathematics) | |
| 650 | 4 | |a Embeddings (Mathematics) | |
| 650 | 4 | |a Extrapolation | |
| 650 | 0 | 7 | |a Extrapolation |0 (DE-588)4153421-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionenraum |0 (DE-588)4134834-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Extrapolation |0 (DE-588)4153421-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Funktionenraum |0 (DE-588)4134834-5 |D s |
| 689 | 1 | 1 | |a Extrapolation |0 (DE-588)4153421-9 |D s |
| 689 | 1 | 2 | |a Zerlegung |g Mathematik |0 (DE-588)4190746-2 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 1580 |w (DE-604)BV000676446 |9 1580 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006358281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805082776915935232 |
|---|---|
| adam_text |
Contents
1 Introduction 1
1.1 A Very Brief Guide To The Literature On In¬
terpolation 4
2 Background On Extrapolation Theory 7
2.1 Introduction 7
2.2 More About the £ and A methods 17
2.3 Recovery of End Points 25
2.4 The classical Setting of Extrapolation 28
2.5 Weighted Norm Inequalities 31
2.6 More Computations of Extrapolation Spaces 32
2.7 Notes and Comments 32
3 K/J Inequalities and Limiting Embedding Theorems 35
3.1 K/J Inequalities and Zafran Spaces 36
3.2 Applications: Sobolev Imbeddings 39
4 Calculations with the A method and applications 43
4.1 Reiteration and the A method 43
4.2 On the Integrability of Orientation Preserving Maps . 46
4.2.1 Background 47
4.2.2 Identification of Sobolev Classes using A . 49
4.3 Some Extreme Sobolev Imbedding Theorems 56
5 Bilinear Extrapolation And A Limiting Case of a The¬
orem by Cwikel 59
5.1 Bilinear Extrapolation 60
5.2 Ideals of Operators 67
x CONTENTS
5.3 Limiting case of Cwikel's estimate 69
5.4 Notes and Further Results 71
6 Extrapolation, Reiteration, and Applications 75
6.1 Reiteration 75
6.2 Estimates for the Maximal Operator Of Partial Sums
Of Fourier Series 84
6.3 Extrapolation Methods 85
6.4 More On Reiteration 88
6.5 Higher Order Logarithmic Sobolev Inequalities . 89
6.6 Notes and Further Results 91
7 Estimates For Commutators In Real Interpolation 95
7.1 Some Operators Associated to Optimal Decompositions 97
7.2 Method of Proof 102
7.3 Computation of fi for extrapolation spaces 107
7.4 Other Operators fi Ill
7.5 Compensated Compactness 115
7.6 Relationship to Extrapolation 118
7.7 A Functional Calculus 121
7.8 A Comment on Calderon Commutators 124
7.9 Notes and Further Results 125
8 Sobolev Imbedding Theorems and Extrapolation of
Infinitely Many Operators 127
8.1 Averages of Operators 127
9 Some Remarks on Extrapolation Spaces and Abstract
Parabolic Equations 131
9.1 Maximal Regularity 132
10 Optimal Decompositions, Scales, and Nash-Moser It¬
eration 139
10.1 Moser's Approach to Solving NonLinear Equations . 140
10.2 Scales with Smoothing and Interpolation 142
10.3 Abstract Nash-Moser Theorem 145
Bibliography 149
CONTENTS xi
Index 158
Symbols 161 |
| any_adam_object | 1 |
| author | Milman, Mario |
| author_facet | Milman, Mario |
| author_role | aut |
| author_sort | Milman, Mario |
| author_variant | m m mm |
| building | Verbundindex |
| bvnumber | BV009620297 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 600 |
| classification_tum | MAT 411f |
| ctrlnum | (OCoLC)844305047 (DE-599)BVBBV009620297 |
| dewey-full | 511/.42 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics 510 - Mathematics |
| dewey-raw | 511/.42 510 |
| dewey-search | 511/.42 510 |
| dewey-sort | 3511 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV009620297</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20080208</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940524s1994 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">941102386</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540580816</subfield><subfield code="9">3-540-58081-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387580816</subfield><subfield code="9">0-387-58081-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)844305047</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009620297</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.42</subfield><subfield code="2">20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 411f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46M35</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Milman, Mario</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Extrapolation and optimal decompositions</subfield><subfield code="b">with applications to analysis</subfield><subfield code="c">Mario Milman</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 159 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1580</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Approximation, Théorie de l'</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Categorieën (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Décomposition (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Décomposition (mathématiques)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Décomposition optimale</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Espace Zafran</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Espace extrapolation</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espaces d'interpolation</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Extrapolation</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functionaalanalyse</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Hilbertruimten</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Interpolation</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Itération Nash-Moser</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Plongements (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Théorème Cwikel</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Théorème plongement Sobolev</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Decomposition (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Embeddings (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Extrapolation</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Extrapolation</subfield><subfield code="0">(DE-588)4153421-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zerlegung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4190746-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Extrapolation</subfield><subfield code="0">(DE-588)4153421-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Funktionenraum</subfield><subfield code="0">(DE-588)4134834-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Extrapolation</subfield><subfield code="0">(DE-588)4153421-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Zerlegung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4190746-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1580</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1580</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006358281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield></record></collection> |
| id | DE-604.BV009620297 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:38:02Z |
| institution | BVB |
| isbn | 3540580816 0387580816 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006358281 |
| oclc_num | 844305047 |
| open_access_boolean | |
| owner | DE-20 DE-384 DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-12 DE-19 DE-BY-UBM DE-706 DE-634 DE-11 DE-83 DE-188 |
| owner_facet | DE-20 DE-384 DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-12 DE-19 DE-BY-UBM DE-706 DE-634 DE-11 DE-83 DE-188 |
| physical | XI, 159 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Milman, Mario Verfasser aut Extrapolation and optimal decompositions with applications to analysis Mario Milman Berlin [u.a.] Springer 1994 XI, 159 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1580 Approximation, Théorie de l' ram Categorieën (wiskunde) gtt Décomposition (Mathématiques) Décomposition (mathématiques) ram Décomposition optimale Espace Zafran Espace extrapolation Espaces d'interpolation ram Extrapolation Functionaalanalyse gtt Hilbertruimten gtt Interpolation Itération Nash-Moser Plongements (Mathématiques) Théorème Cwikel Théorème plongement Sobolev Decomposition (Mathematics) Embeddings (Mathematics) Extrapolation (DE-588)4153421-9 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Extrapolation (DE-588)4153421-9 s DE-604 Funktionenraum (DE-588)4134834-5 s Zerlegung Mathematik (DE-588)4190746-2 s Lecture notes in mathematics 1580 (DE-604)BV000676446 1580 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006358281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Milman, Mario Extrapolation and optimal decompositions with applications to analysis Lecture notes in mathematics Approximation, Théorie de l' ram Categorieën (wiskunde) gtt Décomposition (Mathématiques) Décomposition (mathématiques) ram Décomposition optimale Espace Zafran Espace extrapolation Espaces d'interpolation ram Extrapolation Functionaalanalyse gtt Hilbertruimten gtt Interpolation Itération Nash-Moser Plongements (Mathématiques) Théorème Cwikel Théorème plongement Sobolev Decomposition (Mathematics) Embeddings (Mathematics) Extrapolation (DE-588)4153421-9 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4153421-9 (DE-588)4190746-2 (DE-588)4134834-5 |
| title | Extrapolation and optimal decompositions with applications to analysis |
| title_auth | Extrapolation and optimal decompositions with applications to analysis |
| title_exact_search | Extrapolation and optimal decompositions with applications to analysis |
| title_full | Extrapolation and optimal decompositions with applications to analysis Mario Milman |
| title_fullStr | Extrapolation and optimal decompositions with applications to analysis Mario Milman |
| title_full_unstemmed | Extrapolation and optimal decompositions with applications to analysis Mario Milman |
| title_short | Extrapolation and optimal decompositions |
| title_sort | extrapolation and optimal decompositions with applications to analysis |
| title_sub | with applications to analysis |
| topic | Approximation, Théorie de l' ram Categorieën (wiskunde) gtt Décomposition (Mathématiques) Décomposition (mathématiques) ram Décomposition optimale Espace Zafran Espace extrapolation Espaces d'interpolation ram Extrapolation Functionaalanalyse gtt Hilbertruimten gtt Interpolation Itération Nash-Moser Plongements (Mathématiques) Théorème Cwikel Théorème plongement Sobolev Decomposition (Mathematics) Embeddings (Mathematics) Extrapolation (DE-588)4153421-9 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Approximation, Théorie de l' Categorieën (wiskunde) Décomposition (Mathématiques) Décomposition (mathématiques) Décomposition optimale Espace Zafran Espace extrapolation Espaces d'interpolation Extrapolation Functionaalanalyse Hilbertruimten Interpolation Itération Nash-Moser Plongements (Mathématiques) Théorème Cwikel Théorème plongement Sobolev Decomposition (Mathematics) Embeddings (Mathematics) Zerlegung Mathematik Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006358281&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT milmanmario extrapolationandoptimaldecompositionswithapplicationstoanalysis |