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Bibliographic Details
Title:	Morrey and Campanato meet Besov, Lizorkin and Triebel
From:	Wen Yuan ; Winfried Sickel ; Dachun Yang
Person:	Yuan, Wen Verfasser aut Sickel, Winfried Yang, Dachun 1954- 1963-
Main Authors:	Yuan, Wen (Author), Sickel, Winfried 1954- (Author), Yang, Dachun 1963- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2010
Series:	Lecture Notes in Mathematics 2005
Subjects:	Funktionenraum
Online Access:	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
Physical Description:	XI, 281 S.
ISBN:	9783642146053

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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-
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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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isbn	9783642146053
language	English
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owner	DE-11 DE-83 DE-824 DE-91G DE-BY-TUM DE-188
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physical	XI, 281 S.
publishDate	2010
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publishDateSort	2010
publisher	Springer
record_format	marc
series	Lecture Notes in Mathematics
series2	Lecture notes in mathematics
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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