Martingale Hardy spaces and their applications in Fourier analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1994
|
| Schriftenreihe: | Lecture notes in mathematics
1568 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 217 S. |
| ISBN: | 3540576231 0387576231 |
Internformat
MARC
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| 100 | 1 | |a Weisz, Ferenc |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Martingale Hardy spaces and their applications in Fourier analysis |c Ferenc Weisz |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
| 300 | |a VIII, 217 S. | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1568 | |
| 650 | 4 | |a Fourier, Analyse de | |
| 650 | 7 | |a Fourier-analyse |2 gtt | |
| 650 | 4 | |a Hardy, Espaces de | |
| 650 | 7 | |a Martingalen |2 gtt | |
| 650 | 4 | |a Martingales (Mathématiques) | |
| 650 | 4 | |a Fourier analysis | |
| 650 | 4 | |a Hardy spaces | |
| 650 | 4 | |a Martingales (Mathematics) | |
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Datensatz im Suchindex
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TABLE OF CONTENTS
PREFACE vii
Chapter 1
PRELIMINARIES AND NOTATIONS 1
1.1. Martingales 1
1.2. Vilenkin orthonormed systems 8
Chapter 2
ONE PARAMETER MARTINGALE HARDY SPACES 13
2.1. Atomic decompositions 14
2.2. Martingale inequalities 19
2.3. Duality theorems 33
2.4. BMO spaces and sharp functions 51
2.5. Martingale transforms 61
2.6. Conjugate transforms of Vilenkin martingales 67
Chapter 3
TWO PARAMETER MARTINGALE HARDY SPACES 80
3.1. Atomic decompositions 81
3.2. Martingale inequalities 84
3.3. Duality theorems 100
3.4. Martingale transforms 122
3.5. Two parameter strong martingales 124
Chapter 4
TREE MARTINGALES 141
4.1. Inequalities 141
4.2. Convergence theorems 158
vi
Chapter 5
REAL INTERPOLATION 164
5.1. Interpolation between one parameter martingale Hardy spaces 171
5.2. Interpolation between two parameter martingale Hardy spaces 177
Chapter 6
INEQUALITIES FOR VILENKIN FOURIER COEFFICIENTS 183
6.1. Hardy type inequalities 183
6.2. Dual inequalities 193
6.3. Convergence of Vilenkin Fourier series 196
REFERENCES 204
SUBJECT INDEX 214
LIST OF NOTATIONS 216 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:37:48Z |
| institution | BVB |
| isbn | 3540576231 0387576231 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005606764 |
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| physical | VIII, 217 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Weisz, Ferenc Verfasser aut Martingale Hardy spaces and their applications in Fourier analysis Ferenc Weisz Berlin [u.a.] Springer 1994 VIII, 217 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1568 Fourier, Analyse de Fourier-analyse gtt Hardy, Espaces de Martingalen gtt Martingales (Mathématiques) Fourier analysis Hardy spaces Martingales (Mathematics) Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Martingal (DE-588)4126466-6 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 s Fourier-Transformation (DE-588)4018014-1 s DE-604 Martingal (DE-588)4126466-6 s Harmonische Analyse (DE-588)4023453-8 s Lecture notes in mathematics 1568 (DE-604)BV000676446 1568 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005606764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weisz, Ferenc Martingale Hardy spaces and their applications in Fourier analysis Lecture notes in mathematics Fourier, Analyse de Fourier-analyse gtt Hardy, Espaces de Martingalen gtt Martingales (Mathématiques) Fourier analysis Hardy spaces Martingales (Mathematics) Harmonische Analyse (DE-588)4023453-8 gnd Martingal (DE-588)4126466-6 gnd Hardy-Raum (DE-588)4159109-4 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4126466-6 (DE-588)4159109-4 (DE-588)4018014-1 |
| title | Martingale Hardy spaces and their applications in Fourier analysis |
| title_auth | Martingale Hardy spaces and their applications in Fourier analysis |
| title_exact_search | Martingale Hardy spaces and their applications in Fourier analysis |
| title_full | Martingale Hardy spaces and their applications in Fourier analysis Ferenc Weisz |
| title_fullStr | Martingale Hardy spaces and their applications in Fourier analysis Ferenc Weisz |
| title_full_unstemmed | Martingale Hardy spaces and their applications in Fourier analysis Ferenc Weisz |
| title_short | Martingale Hardy spaces and their applications in Fourier analysis |
| title_sort | martingale hardy spaces and their applications in fourier analysis |
| topic | Fourier, Analyse de Fourier-analyse gtt Hardy, Espaces de Martingalen gtt Martingales (Mathématiques) Fourier analysis Hardy spaces Martingales (Mathematics) Harmonische Analyse (DE-588)4023453-8 gnd Martingal (DE-588)4126466-6 gnd Hardy-Raum (DE-588)4159109-4 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Fourier, Analyse de Fourier-analyse Hardy, Espaces de Martingalen Martingales (Mathématiques) Fourier analysis Hardy spaces Martingales (Mathematics) Harmonische Analyse Martingal Hardy-Raum Fourier-Transformation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005606764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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