Morrey and Campanato meet Besov, Lizorkin and Triebel:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Series: | Lecture Notes in Mathematics
2005 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 281 S. |
| ISBN: | 9783642146053 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS 1 INTRODUCTION 1 1.1 A SHORT SUMMARY OF THE BOOK 1 1.2 A PIECE
OF HISTORY 3 1.2.1 BESOV-TRIEBEL-LIZORKIN SPACES 4 1.2.2
MORREY-CAMPANATO SPACES 4 1.2.3 SPACES BUILT ON MORREY-CAMPANATO SPACES
5 1.2.4 GSPACES 5 1.3 A COLLECTION OF THE FUNCTION SPACES APPEARING IN
THE BOOK 6 1.3.1 FUNCTION SPACES DEFINED BY DERIVATIVES AND DIFFERENCES
6 1.3.2 FUNCTION SPACES DEFINED BY MEAN VALUES AND OSCILLATIONS.... 8
1.3.3 FUNCTION SPACES DEFINED BY FOURIER ANALYTIC TOOLS 10 1.4 A TABLE
OF COINCIDENCES 14 1.4.1 BESOV-MORREY SPACES 14 1.4.2
TRIEBEL-LIZORKIN-MORREY SPACES 15 1.4.3 MORREY-CAMPANATO SPACES 16 1.4.4
HOMOGENEOUS SPACES 17 1.5 NOTATION 17 2 THE SPACES B S ^ Q (R N ) AND
FP UR ) 21 2.1 THE P-TRANSFORM FOR BJ],(R ) AND / ;(R ) 21 2.1.1 THE
DEFINITION AND SOME PRELIMINARIES 21 2.1.2 THE CALDERON REPRODUCING
FORMULAE AND SOME CONSEQUENCES 24 2.1.3 SEQUENCE SPACES 30 2.2
EMBEDDINGS 39 2.3 THE FATOU PROPERTY 48 3 ALMOST DIAGONAL OPERATORS AND
ATOMIC AND MOLECULAR DECOMPOSITIONS 49 3.1 SMOOTH ATOMIC AND MOLECULAR
DECOMPOSITIONS 49 3.2 THE RELATION OF A BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/1003791522 DIGITALISIERT DURCH X CONTENTS 4 SEVERAL
EQUIVALENT CHARACTERIZATIONS 65 4.1 PREPARATIONS 65 4.1.1 AN EQUIVALENT
DEFINITION 65 4.1.2 SEVERAL TECHNICAL LEMMAS ON DIFFERENCES 72 4.1.3
MEANS OF DIFFERENCES 83 4.2 CHARACTERIZATIONS BY WAVELETS 84 4.2.1
WAVELETS AND BESOV-TRIEBEL-LIZORKIN SPACES 85 4.2.2 ESTIMATES OF
MEAN-VALUES OF DIFFERENCES BY WAVELET COEFFICIENTS 86 4.2.3 THE WAVELET
CHARACTERIZATION OF A P ) TQ (R ) 96 4.2.4 THE WAVELET CHARACTERIZATION
OF FL TQ (R ) 100 4.3 CHARACTERIZATIONS OF A P TQ (R ) BY DIFFERENCES
102 4.3.1 CHARACTERIZATIONS OF FP TQ (R ) BY DIFFERENCES 102 4.3.2
CHARACTERIZATIONS OF 5^(R ) BY DIFFERENCES 106 4.3.3 THE CLASSES A^R )
AND THEIR RELATIONS TO G SPACES 108 4.3.4 THE CHARACTERIZATION OF F^ Q
{SS. N ) BY DIFFERENCES 110 4.4 CHARACTERIZATIONS VIA OSCILLATIONS ILL
4.4.1 PREPARATIONS ILL 4.4.2 OSCILLATIONS AND BESOV-TYPE SPACES 115
4.4.3 OSCILLATIONS AND TRIEBEL-LIZORKIN-TYPE SPACES 117 4.4.4
OSCILLATIONS AND FL CONTENTS XI 6.4 SPACES ON R | AND SMOOTH DOMAINS 168
6.4.1 SPACES ON R L 168 6.4.2 SPACES ON SMOOTH DOMAINS 173 7
INHOMOGENEOUS BESOV-HAUSDORFF AND TRIEBEL-LIZORKIN-HAUSDORFF SPACES 1 77
7.1 TENT SPACES 177 7.2 BESOV-HAUSDORFF SPACES AND
TRIEBEL-LIZORKIN-HAUSDORFF SPACES 199 7.3 A (VMO, H X )-TYPE DUALITY
RESULT 237 7.4 REAL INTERPOLATION 246 8 HOMOGENEOUS SPACES 251 8.1 THE
DEFINITION AND SOME PRELIMINARIES 251 8.2 THE WAVELET CHARACTERIZATION
OF B P ? Q (R ) AND F SP J(R ) 255 8.3 THE CHARACTERIZATION BY
DIFFERENCES OF B P * Q (R ) AND FP] RQ (R N ) 261 8.4 HOMOGENEOUS
BESOV-HAUSDORFF AND TRIEBEL-LIZORKIN-HAUSDORFF SPACES 268 REFERENCES 271
INDEX 279
|
| any_adam_object | 1 |
| author | Yuan, Wen Sickel, Winfried 1954- Yang, Dachun 1963- |
| author_GND | (DE-588)14252638X (DE-588)110590813 (DE-588)142526347 |
| author_facet | Yuan, Wen Sickel, Winfried 1954- Yang, Dachun 1963- |
| author_role | aut aut aut |
| author_sort | Yuan, Wen |
| author_variant | w y wy w s ws d y dy |
| building | Verbundindex |
| bvnumber | BV036735002 |
| classification_rvk | SI 850 |
| classification_tum | MAT 464f MAT 426f |
| ctrlnum | (OCoLC)699860830 (DE-599)DNB1003791522 |
| dewey-full | 515.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.73 |
| dewey-search | 515.73 |
| dewey-sort | 3515.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036735002 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:46:54Z |
| institution | BVB |
| isbn | 9783642146053 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020652587 |
| oclc_num | 699860830 |
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| owner | DE-11 DE-83 DE-824 DE-91G DE-BY-TUM DE-188 |
| owner_facet | DE-11 DE-83 DE-824 DE-91G DE-BY-TUM DE-188 |
| physical | XI, 281 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture Notes in Mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Yuan, Wen Verfasser (DE-588)14252638X aut Morrey and Campanato meet Besov, Lizorkin and Triebel Wen Yuan ; Winfried Sickel ; Dachun Yang Berlin [u.a.] Springer 2010 XI, 281 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2005 Funktionenraum (DE-588)4134834-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s DE-604 Sickel, Winfried 1954- Verfasser (DE-588)110590813 aut Yang, Dachun 1963- Verfasser (DE-588)142526347 aut Erscheint auch als Online-Ausgabe 978-3-642-14606-0 Lecture Notes in Mathematics 2005 (DE-604)BV000676446 2005 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020652587&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yuan, Wen Sickel, Winfried 1954- Yang, Dachun 1963- Morrey and Campanato meet Besov, Lizorkin and Triebel Lecture Notes in Mathematics Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4134834-5 |
| title | Morrey and Campanato meet Besov, Lizorkin and Triebel |
| title_auth | Morrey and Campanato meet Besov, Lizorkin and Triebel |
| title_exact_search | Morrey and Campanato meet Besov, Lizorkin and Triebel |
| title_full | Morrey and Campanato meet Besov, Lizorkin and Triebel Wen Yuan ; Winfried Sickel ; Dachun Yang |
| title_fullStr | Morrey and Campanato meet Besov, Lizorkin and Triebel Wen Yuan ; Winfried Sickel ; Dachun Yang |
| title_full_unstemmed | Morrey and Campanato meet Besov, Lizorkin and Triebel Wen Yuan ; Winfried Sickel ; Dachun Yang |
| title_short | Morrey and Campanato meet Besov, Lizorkin and Triebel |
| title_sort | morrey and campanato meet besov lizorkin and triebel |
| topic | Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020652587&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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