Metric properties of harmonic measures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2006
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
867 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 184, number 867 (third of 4 numbers)." Includes bibliographical references and index |
| Beschreibung: | VI, 163 S. graph. Darst. |
| ISBN: | 0821839942 9780821839942 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021837599 | ||
| 003 | DE-604 | ||
| 005 | 20150326 | ||
| 007 | t | ||
| 008 | 061204s2006 xxud||| |||| 00||| eng d | ||
| 010 | |a 2006043006 | ||
| 020 | |a 0821839942 |9 0-8218-3994-2 | ||
| 020 | |a 9780821839942 |9 978-0-8218-3994-2 | ||
| 035 | |a (OCoLC)70483621 | ||
| 035 | |a (DE-599)BVBBV021837599 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-29T |a DE-20 |a DE-11 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA405 | |
| 082 | 0 | |a 515/.53 |2 22 | |
| 082 | 0 | |a 915/.53 | |
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 100 | 1 | |a Totik, Vilmos |d 1954- |e Verfasser |0 (DE-588)111480485 |4 aut | |
| 245 | 1 | 0 | |a Metric properties of harmonic measures |c Vilmos Totik |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2006 | |
| 300 | |a VI, 163 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 867 | |
| 500 | |a "Volume 184, number 867 (third of 4 numbers)." | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Fonctions de lissage | |
| 650 | 4 | |a Fonctions harmoniques | |
| 650 | 4 | |a Green, Fonctions de | |
| 650 | 4 | |a Inégalités (Mathématiques) | |
| 650 | 7 | |a Potentiaaltheorie |2 gtt | |
| 650 | 4 | |a Harmonic functions | |
| 650 | 4 | |a Green's functions | |
| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 4 | |a Smoothness of functions | |
| 650 | 0 | 7 | |a Cantor-Menge |0 (DE-588)4288370-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Green-Funktion |0 (DE-588)4158123-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ungleichung |0 (DE-588)4139098-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Glattheit |g Mathematik |0 (DE-588)4301805-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Harmonisches Maß |0 (DE-588)4159134-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Green-Funktion |0 (DE-588)4158123-4 |D s |
| 689 | 0 | 1 | |a Harmonisches Maß |0 (DE-588)4159134-3 |D s |
| 689 | 0 | 2 | |a Cantor-Menge |0 (DE-588)4288370-2 |D s |
| 689 | 0 | 3 | |a Glattheit |g Mathematik |0 (DE-588)4301805-1 |D s |
| 689 | 0 | 4 | |a Ungleichung |0 (DE-588)4139098-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 867 |w (DE-604)BV008000141 |9 867 | |
| 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=015049500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015049500 | ||
Datensatz im Suchindex
| _version_ | 1804135770531823616 |
|---|---|
| adam_text | Contents
1 Introduction 1
2 Metric properties of harmonic measures, Green functions and equi¬
librium measures 4
2.1 Notations and some basic results from potential theory 6
2.2 Preliminary estimates 10
2.3 Proof of Theorem 2.3 for E C [0,1] 15
2.4 Proof of Theorem 2.2 19
2.5 Proof of Theorem 2.1 23
2.6 Proof of Theorem 2.3 24
3 Sharpness 28
3.1 Proof of Theorem 3.1 and its corollaries 29
4 Higher order smoothness 35
5 Cantor type sets 44
5.1 Preliminaries for Cantor sets 45
5.2 Proof of Theorems 5.1 and 5.3 53
Proof of Theorem 5.9 53
Proof of Theorem 5.1 60
Proof of Theorem 5.3 70
6 Phargmen Lindelof type theorems 74
6.1 Proof of Theorem 6.2 78
7 Markov and Bernstein type inequalities 107
7.1 Proof of Theorems 7.1, 7.2 and 7.3 109
8 Fast decreasing polynomials 113
9 Remez and Schur type inequalities 123
10 Approximation on compact sets 126
11 Appendix 147
11.1 Discretizing logarithmic integrals 147
11.2 Some lemmas on 0 integrals 153
12 References 157
13 List of symbols 160
14 List of figures 161
15 Index 162
v
|
| adam_txt |
Contents
1 Introduction 1
2 Metric properties of harmonic measures, Green functions and equi¬
librium measures 4
2.1 Notations and some basic results from potential theory 6
2.2 Preliminary estimates 10
2.3 Proof of Theorem 2.3 for E C [0,1] 15
2.4 Proof of Theorem 2.2 19
2.5 Proof of Theorem 2.1 23
2.6 Proof of Theorem 2.3 24
3 Sharpness 28
3.1 Proof of Theorem 3.1 and its corollaries 29
4 Higher order smoothness 35
5 Cantor type sets 44
5.1 Preliminaries for Cantor sets 45
5.2 Proof of Theorems 5.1 and 5.3 53
Proof of Theorem 5.9 53
Proof of Theorem 5.1 60
Proof of Theorem 5.3 70
6 Phargmen Lindelof type theorems 74
6.1 Proof of Theorem 6.2 78
7 Markov and Bernstein type inequalities 107
7.1 Proof of Theorems 7.1, 7.2 and 7.3 109
8 Fast decreasing polynomials 113
9 Remez and Schur type inequalities 123
10 Approximation on compact sets 126
11 Appendix 147
11.1 Discretizing logarithmic integrals 147
11.2 Some lemmas on 0 integrals 153
12 References 157
13 List of symbols 160
14 List of figures 161
15 Index 162
v |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Totik, Vilmos 1954- |
| author_GND | (DE-588)111480485 |
| author_facet | Totik, Vilmos 1954- |
| author_role | aut |
| author_sort | Totik, Vilmos 1954- |
| author_variant | v t vt |
| building | Verbundindex |
| bvnumber | BV021837599 |
| callnumber-first | Q - Science |
| callnumber-label | QA405 |
| callnumber-raw | QA405 |
| callnumber-search | QA405 |
| callnumber-sort | QA 3405 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)70483621 (DE-599)BVBBV021837599 |
| dewey-full | 515/.53 915/.53 |
| dewey-hundreds | 500 - Natural sciences and mathematics 900 - History & geography |
| dewey-ones | 515 - Analysis 915 - Geography of and travel in Asia |
| dewey-raw | 515/.53 915/.53 |
| dewey-search | 515/.53 915/.53 |
| dewey-sort | 3515 253 |
| dewey-tens | 510 - Mathematics 910 - Geography and travel |
| discipline | Mathematik Geographie |
| discipline_str_mv | Mathematik Geographie |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02508nam a2200637 cb4500</leader><controlfield tag="001">BV021837599</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150326 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">061204s2006 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2006043006</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821839942</subfield><subfield code="9">0-8218-3994-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821839942</subfield><subfield code="9">978-0-8218-3994-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)70483621</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021837599</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA405</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.53</subfield><subfield code="2">22</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">915/.53</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Totik, Vilmos</subfield><subfield code="d">1954-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111480485</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Metric properties of harmonic measures</subfield><subfield code="c">Vilmos Totik</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 163 S.</subfield><subfield code="b">graph. Darst.</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">Memoirs of the American Mathematical Society</subfield><subfield code="v">867</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Volume 184, number 867 (third of 4 numbers)."</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions de lissage</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions harmoniques</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Green, Fonctions de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inégalités (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Potentiaaltheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Harmonic functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Green's functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inequalities (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Smoothness of functions</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Cantor-Menge</subfield><subfield code="0">(DE-588)4288370-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Green-Funktion</subfield><subfield code="0">(DE-588)4158123-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ungleichung</subfield><subfield code="0">(DE-588)4139098-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Glattheit</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4301805-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonisches Maß</subfield><subfield code="0">(DE-588)4159134-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Green-Funktion</subfield><subfield code="0">(DE-588)4158123-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Harmonisches Maß</subfield><subfield code="0">(DE-588)4159134-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Cantor-Menge</subfield><subfield code="0">(DE-588)4288370-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Glattheit</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4301805-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Ungleichung</subfield><subfield code="0">(DE-588)4139098-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">867</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">867</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=015049500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015049500</subfield></datafield></record></collection> |
| id | DE-604.BV021837599 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:59:14Z |
| indexdate | 2024-07-09T20:45:47Z |
| institution | BVB |
| isbn | 0821839942 9780821839942 |
| language | English |
| lccn | 2006043006 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015049500 |
| oclc_num | 70483621 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-20 DE-11 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-20 DE-11 DE-188 DE-83 |
| physical | VI, 163 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Totik, Vilmos 1954- Verfasser (DE-588)111480485 aut Metric properties of harmonic measures Vilmos Totik Providence, R.I. American Mathematical Society 2006 VI, 163 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 867 "Volume 184, number 867 (third of 4 numbers)." Includes bibliographical references and index Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie gtt Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge (DE-588)4288370-2 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Glattheit Mathematik (DE-588)4301805-1 gnd rswk-swf Harmonisches Maß (DE-588)4159134-3 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s Harmonisches Maß (DE-588)4159134-3 s Cantor-Menge (DE-588)4288370-2 s Glattheit Mathematik (DE-588)4301805-1 s Ungleichung (DE-588)4139098-2 s DE-604 Memoirs of the American Mathematical Society 867 (DE-604)BV008000141 867 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015049500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Totik, Vilmos 1954- Metric properties of harmonic measures Memoirs of the American Mathematical Society Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie gtt Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge (DE-588)4288370-2 gnd Green-Funktion (DE-588)4158123-4 gnd Ungleichung (DE-588)4139098-2 gnd Glattheit Mathematik (DE-588)4301805-1 gnd Harmonisches Maß (DE-588)4159134-3 gnd |
| subject_GND | (DE-588)4288370-2 (DE-588)4158123-4 (DE-588)4139098-2 (DE-588)4301805-1 (DE-588)4159134-3 |
| title | Metric properties of harmonic measures |
| title_auth | Metric properties of harmonic measures |
| title_exact_search | Metric properties of harmonic measures |
| title_exact_search_txtP | Metric properties of harmonic measures |
| title_full | Metric properties of harmonic measures Vilmos Totik |
| title_fullStr | Metric properties of harmonic measures Vilmos Totik |
| title_full_unstemmed | Metric properties of harmonic measures Vilmos Totik |
| title_short | Metric properties of harmonic measures |
| title_sort | metric properties of harmonic measures |
| topic | Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie gtt Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge (DE-588)4288370-2 gnd Green-Funktion (DE-588)4158123-4 gnd Ungleichung (DE-588)4139098-2 gnd Glattheit Mathematik (DE-588)4301805-1 gnd Harmonisches Maß (DE-588)4159134-3 gnd |
| topic_facet | Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge Green-Funktion Ungleichung Glattheit Mathematik Harmonisches Maß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015049500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT totikvilmos metricpropertiesofharmonicmeasures |