The backward shift on the Hardy space:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2000
|
| Series: | Mathematical surveys and monographs
79 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 199 S. |
| ISBN: | 0821820834 |
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| adam_text | MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 79 THE BACKWARD SHIFT ON THE
HARDY SPACE JOSEPH A. CIMA WILLIAM T.ROSS AMERICAN MATHEMATICAL SOCIETY
CONTENTS PREFACE IX NUMBERING AND NOTATION XI CHAPTER 1. OVERVIEW 1
CHAPTER 2. CLASSICAL BOUNDARY VALUE RESULTS 9 2.1. LIMITS 9 2.2.
PSEUDOCONTINUATIONS 13 CHAPTER 3. THE HARDY SPACE OF THE DISK 17 3.1.
INTRODUCTION 17 3.2. H P AND BOUNDARY VALUES 17 3.3. FOURIER ANALYSIS
AND H P THEORY 21 3.4. THE CAUCHY TRANSFORM 23 3.5. DUALITY 28 3.6. THE
NEVANLINNA CLASS 39 CHAPTER 4. THE HARDY SPACES OF THE UPPER-HALF PLANE
45 4.1. MOTIVATION 45 4.2. BASIC DEFINITIONS 47 4.3. POISSON AND
CONJUGATE POISSON INTEGRALS 49 4.4. MAXIMAL FUNCTIONS 52 4.5. THE
HILBERT TRANSFORM 54 4.6. SOME EXAMPLES 55 4.7. THE HARMONIC HARDY SPACE
60 4.8. DISTRIBUTIONS 61 4.9. THE ATOMIC DECOMPOSITION 72 4.10.
DISTRIBUTIONS AND W 75 4.11. THE SPACE H P {C R) 76 CHAPTER 5. THE
BACKWARD SHIFT ON H P FOR P * [1, OO) 81 5.1. THE CASE P 1 81 5.2. THE
FIRST AND MOST STRAIGHTFORWARD PROOF 82 5.3. THE SECOND PROOF - USING
FATOU S JUMP THEOREM 85 5.4. APPLICATION: BERGMAN SPACES 87 5.5.
APPLICATION: SPECTRAL PROPERTIES 94 5.6. THE THIRD PROOF - USING THE
NEVANLINNA THEORY 97 5.7. APPLICATION: VMOA, BMOA, AND L 1 /!^ 99 5.8.
THE CASE P = 1 101 5.9. CYCLIC VECTORS 105 VIII CONTENTS 5.10. DUALITY
109 5.11. THE COMMUTANT 109 5.12. COMPACTNESS OF THE INCLUSION OPERATOR
111 CHAPTER 6. THE BACKWARD SHIFT ON H P FOR P E (0,1) 115 6.1.
INTRODUCTION 115 6.2. THE PARAMETERS 120 6.3. A REDUCTION 133 6.4.
RATIONAL APPROXIMATION 136 6.5. SPECTRAL PROPERTIES 185 6.6. CYCLIC
VECTORS 186 6.7. DUALITY 187 6.8. THE COMMUTANT 188 BIBLIOGRAPHY 191
INDEX 195
|
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| indexdate | 2024-07-09T18:43:06Z |
| institution | BVB |
| isbn | 0821820834 |
| language | English |
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| physical | XI, 199 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
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| publisher | American Math. Soc. |
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| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Cima, Joseph A. Verfasser aut The backward shift on the Hardy space Joseph A. Cima ; William T. Ross Providence, RI American Math. Soc. 2000 XI, 199 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 79 Operatortheorie - Hardy-Raum Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 s DE-604 Ross, William T. Verfasser aut Erscheint auch als Online-Ausgabe 978-1-4704-1306-4 Mathematical surveys and monographs 79 (DE-604)BV000018014 79 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009056852&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cima, Joseph A. Ross, William T. The backward shift on the Hardy space Mathematical surveys and monographs Operatortheorie - Hardy-Raum Hardy-Raum (DE-588)4159109-4 gnd |
| subject_GND | (DE-588)4159109-4 |
| title | The backward shift on the Hardy space |
| title_auth | The backward shift on the Hardy space |
| title_exact_search | The backward shift on the Hardy space |
| title_full | The backward shift on the Hardy space Joseph A. Cima ; William T. Ross |
| title_fullStr | The backward shift on the Hardy space Joseph A. Cima ; William T. Ross |
| title_full_unstemmed | The backward shift on the Hardy space Joseph A. Cima ; William T. Ross |
| title_short | The backward shift on the Hardy space |
| title_sort | the backward shift on the hardy space |
| topic | Operatortheorie - Hardy-Raum Hardy-Raum (DE-588)4159109-4 gnd |
| topic_facet | Operatortheorie - Hardy-Raum Hardy-Raum |
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