Operator theory in function spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2007
|
| Edition: | 2. ed. |
| Series: | Mathematical surveys and monographs
138 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 348 S. |
| ISBN: | 9780821839652 |
Staff View
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Record in the Search Index
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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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| id | DE-604.BV022760389 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:34:20Z |
| indexdate | 2024-07-09T21:05:28Z |
| institution | BVB |
| isbn | 9780821839652 |
| language | English |
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| physical | XVI, 348 S. |
| publishDate | 2007 |
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| publisher | American Math. Soc. |
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| series | Mathematical surveys and monographs |
| 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 |