Martingale inequalities: seminar notes on recent progress
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London ; Amsterdam ; Don Mills, Ontario ; Sydney ; Tokyo
W. A. Benjamin
1973
|
| Schriftenreihe: | Mathematics lecture note series
53 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | viii, 184 Seiten |
| ISBN: | 0805331034 0805331026 |
Internformat
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| 245 | 1 | 0 | |a Martingale inequalities |b seminar notes on recent progress |c Adriano M. Garsia, University of California, San Diego |
| 264 | 1 | |a London ; Amsterdam ; Don Mills, Ontario ; Sydney ; Tokyo |b W. A. Benjamin |c 1973 | |
| 264 | 4 | |c © 1973 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | TABLE OF CONTENTS
PREFACE 1
I DUALITY OF }J AND K SPACES
p q
1. The V and BMO norms 3
2. The K norm 4
q
3. Fefferman s inequality 6
4. A representation for the functionals on II 12
5. A remarkable representation for BMO functions 22
II INEQUALITIES BETWEEN THE SQUARE FUNCTION AND THE
MAXIMAL FUNCTION
1. The equivalence of 1 and v norms 27
q q
2. Proof of the inequalities for 1 s p £ 2 34
3. Proofs of the auxiliary lemmas 41
4. A further characterization of BMO functions 48
5. Square function inequalities for supermartingales
and Burkholder s weak - L inequality 58
III BMO SEQUENCES AND POTENTIALS
1. Exponential bounds for monotone sequences 54
2. Proof of the John-Nirenberg theorem 75
3. H. , the L logL class and an inequality of ! oob 81
vii
viii
4. Potentials and a dual to Doob s inequality 97
5. On the possibility of extending the definitions of K spaces .... 114
IV MARTINGALE TRANSFORM TECHNIQUES
1. The space , and its relation to p and )L 124
2. The spaces p , V and a further generalization
of Fefferman s inequality 130
3. L estimates between f and the conditional square function . . . 142
4. Relations amongst p spaces and further remarks 148
NOTATION AND BASIC DEFINITIONS 163
INDEX TO THE INEQUALITIES 167
NOTEWORTHY RESULTS AND REMARKS 173
BIBLIOGRAPHY 181
|
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:59Z |
| institution | BVB |
| isbn | 0805331034 0805331026 |
| language | English |
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| physical | viii, 184 Seiten |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | W. A. Benjamin |
| record_format | marc |
| series | Mathematics lecture note series |
| series2 | Mathematics lecture note series |
| spelling | Garsia, Adriano Mario 1928- (DE-588)1074858115 aut Martingale inequalities seminar notes on recent progress Adriano M. Garsia, University of California, San Diego London ; Amsterdam ; Don Mills, Ontario ; Sydney ; Tokyo W. A. Benjamin 1973 © 1973 viii, 184 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematics lecture note series 53 Martingal-Ungleichung (DE-588)4168983-5 gnd rswk-swf Martingal-Ungleichung (DE-588)4168983-5 s DE-604 Mathematics lecture note series 53 (DE-604)BV001899001 53 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003587748&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Garsia, Adriano Mario 1928- Martingale inequalities seminar notes on recent progress Mathematics lecture note series Martingal-Ungleichung (DE-588)4168983-5 gnd |
| subject_GND | (DE-588)4168983-5 |
| title | Martingale inequalities seminar notes on recent progress |
| title_auth | Martingale inequalities seminar notes on recent progress |
| title_exact_search | Martingale inequalities seminar notes on recent progress |
| title_full | Martingale inequalities seminar notes on recent progress Adriano M. Garsia, University of California, San Diego |
| title_fullStr | Martingale inequalities seminar notes on recent progress Adriano M. Garsia, University of California, San Diego |
| title_full_unstemmed | Martingale inequalities seminar notes on recent progress Adriano M. Garsia, University of California, San Diego |
| title_short | Martingale inequalities |
| title_sort | martingale inequalities seminar notes on recent progress |
| title_sub | seminar notes on recent progress |
| topic | Martingal-Ungleichung (DE-588)4168983-5 gnd |
| topic_facet | Martingal-Ungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003587748&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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