Verfügbarkeit: Operator theory in function spaces

Operator theory in function spaces:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Zhu, Kehe 1961- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Providence, RI American Math. Soc. 2007
Ausgabe:	2. ed.
Schriftenreihe:	Mathematical surveys and monographs 138
Schlagworte:	Espaces fonctionnels Fonctions d'une variable complexe Hankel, Opérateurs de Théorie des opérateurs Toeplitz, Opérateurs de Function spaces Functions of complex variables Hankel operators Operator theory Toeplitz operators Toeplitz-Operator Hankel-Transformation Operatortheorie Kompositionsoperator Funktionenraum Hankel-Operator
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XVI, 348 S.
ISBN:	9780821839652

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Datensatz im Suchindex

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adam_text	MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 138 OPERATOR THEORY IN FUNCTION SPACES SECOND EDITION KEHE ZHU AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE TO THE SECOND EDITION XI PREFACE TO THE FIRST EDITION XV CHAPTER 1. BOUNDED LINEAR OPERATORS 1 1.1. BOUNDED OPERATORS ON BANACH SPACES 1 5 10 18 30 30 33 33 36 39 41 45 46 47 47 49 52 54 61 62 65 65 66 72 76 87 94 97 1.2. 1.3. 1.4. 1.5. 1.6. CHAPTER 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. CHAPTER 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. CHAPTER 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. BOUNDED OPERATORS ON HUBERT SPACES COMPACT OPERATORS ON HILBERT SPACES SCHATTEN CLASS OPERATORS NOTES EXERCISES 2. INTERPOLATION OF BANACH SPACES INTERPOLATION SPACES COMPLEX INTERPOLATION IP SPACES AND SCHATTEN CLASSES THE MARCINKIEWICZ INTERPOLATION THEOREM NOTES EXERCISES 3. INTEGRAL OPERATORS ON IP SPACES HOLDER S INEQUALITIES HILBERT-SCHMIDT INTEGRAL OPERATORS SCHUR S THEOREM INTEGRAL OPERATORS ON THE UNIT DISK NOTES EXERCISES 4. BERGMAN SPACES THE MOBIUS GROUP THE BERGMAN METRIC BERGMAN SPACES KERNEL FUNCTIONS AND RELATED PROJECTIONS ATOMIC DECOMPOSITION NOTES EXERCISES VIII CONTENTS CHAPTER 5. BLOCH AND BESOV SPACES 101 5.1. THE BLOCH SPACE 101 5.2. THE LITTLE BLOCH SPACE 108 5.3. ANALYTIC BESOV SPACES 114 5.4. NOTES 125 5.5. EXERCISES 128 CHAPTER 6. THE BEREZIN TRANSFORM 133 6.1. THE BEREZIN TRANSFORM 133 6.2. THE CASE OF WEIGHTED BERGMAN SPACES 135 6.3. THE BEREZIN TRANSFORM OF FUNCTIONS 141 6.4. NOTES 159 6.5. EXERCISES 160 CHAPTER 7. TOEPLITZ OPERATORS ON THE BERGMAN SPACE 163 7.1. TOEPLITZ OPERATORS 163 7.2. CARLESON TYPE MEASURES 166 7.3. TOEPLITZ OPERATORS IN SCHATTEN CLASSES 173 7.4. TOEPLITZ OPERATORS WITH BOUNDED SYMBOLS 189 7.5. COMMUTING TOEPLITZ OPERATORS WITH HARMONIC SYMBOLS 197 7.6. NOTES 202 7.7. EXERCISES 204 CHAPTER 8. HANKEL OPERATORS ON THE BERGMAN SPACE 207 8.1. BMO IN THE BERGMAN METRIC 207 8.2. VMO IN THE BERGMAN METRIC 219 8.3. BOUNDED HANKEL OPERATORS 221 8.4. COMPACT HANKEL OPEATORS 225 8.5. SCHATTEN CLASS HANKEL OPERATORS 227 8.6. HANKEL OPERATORS ON THE UNWEIGHTED BERGMAN SPACE 233 8.7. LITTLE HANKEL OPERATORS 244 8.8. NOTES 248 8.9. EXERCISES 250 CHAPTER 9. HARDY SPACES AND BMO 253 9.1. H P SPACES . 253 9.2. CARLESON MEASURES 262 9.3. FUNCTIONS OF BOUNDED MEAN OSCILLATION 266 9.4. FUNCTIONS OF VANISHING MEAN OSCILLATION 275 9.5. NOTES 279 9.6. EXERCISES 280 CHAPTER 10. HANKEL OPERATORS ON THE HARDY SPACE 285 10.1. TOEPLITZ OPERATORS ON H 2 285 CONTENTS IX 10.2. BOUNDED HANKEL OPERATORS ON H 2 287 10.3. COMPACT HANKEL OPERATORS ON H 2 289 10.4. SCHATTEN CLASS HANKEL OPERATORS ON H 2 291 10.5. NOTES 299 10.6. EXERCISES 301 CHAPTER 11. COMPOSITION OPERATORS 303 11.1. LITTLEWOOD S SUBORDINATION PRINCIPLE 303 11.2. THE NEVANLINNA COUNTING FUNCTION 305 11.3. COMPOSITION OPERATORS ON THE BERGMAN SPACE 308 11.4. COMPOSITION OPERATORS ON THE HARDY SPACE 317 11.5. NOTES 323 11.6. EXERCISES 324 BIBLIOGRAPHY 325 INDEX 345
adam_txt	MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 138 OPERATOR THEORY IN FUNCTION SPACES SECOND EDITION KEHE ZHU AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE TO THE SECOND EDITION XI PREFACE TO THE FIRST EDITION XV CHAPTER 1. BOUNDED LINEAR OPERATORS 1 1.1. BOUNDED OPERATORS ON BANACH SPACES 1 5 10 18 30 30 33 33 36 39 41 45 46 47 47 49 52 54 61 62 65 65 66 72 76 87 94 97 1.2. 1.3. 1.4. 1.5. 1.6. CHAPTER 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. CHAPTER 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. CHAPTER 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. BOUNDED OPERATORS ON HUBERT SPACES COMPACT OPERATORS ON HILBERT SPACES SCHATTEN CLASS OPERATORS NOTES EXERCISES 2. INTERPOLATION OF BANACH SPACES INTERPOLATION SPACES COMPLEX INTERPOLATION IP SPACES AND SCHATTEN CLASSES THE MARCINKIEWICZ INTERPOLATION THEOREM NOTES EXERCISES 3. INTEGRAL OPERATORS ON IP SPACES HOLDER'S INEQUALITIES HILBERT-SCHMIDT INTEGRAL OPERATORS SCHUR'S THEOREM INTEGRAL OPERATORS ON THE UNIT DISK NOTES EXERCISES 4. BERGMAN SPACES THE MOBIUS GROUP THE BERGMAN METRIC BERGMAN SPACES KERNEL FUNCTIONS AND RELATED PROJECTIONS ATOMIC DECOMPOSITION NOTES EXERCISES VIII CONTENTS CHAPTER 5. BLOCH AND BESOV SPACES 101 5.1. THE BLOCH SPACE 101 5.2. THE LITTLE BLOCH SPACE 108 5.3. ANALYTIC BESOV SPACES 114 5.4. NOTES 125 5.5. EXERCISES 128 CHAPTER 6. THE BEREZIN TRANSFORM 133 6.1. THE BEREZIN TRANSFORM 133 6.2. THE CASE OF WEIGHTED BERGMAN SPACES 135 6.3. THE BEREZIN TRANSFORM OF FUNCTIONS 141 6.4. NOTES 159 6.5. EXERCISES 160 CHAPTER 7. TOEPLITZ OPERATORS ON THE BERGMAN SPACE 163 7.1. TOEPLITZ OPERATORS 163 7.2. CARLESON TYPE MEASURES 166 7.3. TOEPLITZ OPERATORS IN SCHATTEN CLASSES 173 7.4. TOEPLITZ OPERATORS WITH BOUNDED SYMBOLS 189 7.5. COMMUTING TOEPLITZ OPERATORS WITH HARMONIC SYMBOLS 197 7.6. NOTES 202 7.7. EXERCISES 204 CHAPTER 8. HANKEL OPERATORS ON THE BERGMAN SPACE 207 8.1. BMO IN THE BERGMAN METRIC 207 8.2. VMO IN THE BERGMAN METRIC 219 8.3. BOUNDED HANKEL OPERATORS 221 8.4. COMPACT HANKEL OPEATORS 225 8.5. SCHATTEN CLASS HANKEL OPERATORS 227 8.6. HANKEL OPERATORS ON THE UNWEIGHTED BERGMAN SPACE 233 8.7. LITTLE HANKEL OPERATORS 244 8.8. NOTES 248 8.9. EXERCISES 250 CHAPTER 9. HARDY SPACES AND BMO 253 9.1. H P SPACES . 253 9.2. CARLESON MEASURES 262 9.3. FUNCTIONS OF BOUNDED MEAN OSCILLATION 266 9.4. FUNCTIONS OF VANISHING MEAN OSCILLATION 275 9.5. NOTES 279 9.6. EXERCISES 280 CHAPTER 10. HANKEL OPERATORS ON THE HARDY SPACE 285 10.1. TOEPLITZ OPERATORS ON H 2 285 CONTENTS IX 10.2. BOUNDED HANKEL OPERATORS ON H 2 287 10.3. COMPACT HANKEL OPERATORS ON H 2 289 10.4. SCHATTEN CLASS HANKEL OPERATORS ON H 2 291 10.5. NOTES 299 10.6. EXERCISES 301 CHAPTER 11. COMPOSITION OPERATORS 303 11.1. LITTLEWOOD'S SUBORDINATION PRINCIPLE 303 11.2. THE NEVANLINNA COUNTING FUNCTION 305 11.3. COMPOSITION OPERATORS ON THE BERGMAN SPACE 308 11.4. COMPOSITION OPERATORS ON THE HARDY SPACE 317 11.5. NOTES 323 11.6. EXERCISES 324 BIBLIOGRAPHY 325 INDEX 345
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series2	Mathematical surveys and monographs
spelling	Zhu, Kehe 1961- Verfasser (DE-588)122198298 aut Operator theory in function spaces Kehe Zhu 2. ed. Providence, RI American Math. Soc. 2007 XVI, 348 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 138 Espaces fonctionnels Fonctions d'une variable complexe Hankel, Opérateurs de Théorie des opérateurs Toeplitz, Opérateurs de Function spaces Functions of complex variables Hankel operators Operator theory Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd rswk-swf Hankel-Transformation (DE-588)4159081-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Kompositionsoperator (DE-588)4236426-7 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Hankel-Operator (DE-588)4314042-7 gnd rswk-swf Toeplitz-Operator (DE-588)4191521-5 s Funktionenraum (DE-588)4134834-5 s DE-604 Hankel-Operator (DE-588)4314042-7 s Kompositionsoperator (DE-588)4236426-7 s Hankel-Transformation (DE-588)4159081-8 s Operatortheorie (DE-588)4075665-8 s Erscheint auch als Online-Ausgabe 978-1-4704-1365-1 Mathematical surveys and monographs 138 (DE-604)BV000018014 138 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015965956&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Zhu, Kehe 1961- Operator theory in function spaces Mathematical surveys and monographs Espaces fonctionnels Fonctions d'une variable complexe Hankel, Opérateurs de Théorie des opérateurs Toeplitz, Opérateurs de Function spaces Functions of complex variables Hankel operators Operator theory Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Hankel-Transformation (DE-588)4159081-8 gnd Operatortheorie (DE-588)4075665-8 gnd Kompositionsoperator (DE-588)4236426-7 gnd Funktionenraum (DE-588)4134834-5 gnd Hankel-Operator (DE-588)4314042-7 gnd
subject_GND	(DE-588)4191521-5 (DE-588)4159081-8 (DE-588)4075665-8 (DE-588)4236426-7 (DE-588)4134834-5 (DE-588)4314042-7
title	Operator theory in function spaces
title_auth	Operator theory in function spaces
title_exact_search	Operator theory in function spaces
title_exact_search_txtP	Operator theory in function spaces
title_full	Operator theory in function spaces Kehe Zhu
title_fullStr	Operator theory in function spaces Kehe Zhu
title_full_unstemmed	Operator theory in function spaces Kehe Zhu
title_short	Operator theory in function spaces
title_sort	operator theory in function spaces
topic	Espaces fonctionnels Fonctions d'une variable complexe Hankel, Opérateurs de Théorie des opérateurs Toeplitz, Opérateurs de Function spaces Functions of complex variables Hankel operators Operator theory Toeplitz operators Toeplitz-Operator (DE-588)4191521-5 gnd Hankel-Transformation (DE-588)4159081-8 gnd Operatortheorie (DE-588)4075665-8 gnd Kompositionsoperator (DE-588)4236426-7 gnd Funktionenraum (DE-588)4134834-5 gnd Hankel-Operator (DE-588)4314042-7 gnd
topic_facet	Espaces fonctionnels Fonctions d'une variable complexe Hankel, Opérateurs de Théorie des opérateurs Toeplitz, Opérateurs de Function spaces Functions of complex variables Hankel operators Operator theory Toeplitz operators Toeplitz-Operator Hankel-Transformation Operatortheorie Kompositionsoperator Funktionenraum Hankel-Operator
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015965956&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000018014
work_keys_str_mv	AT zhukehe operatortheoryinfunctionspaces

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