Martingale inequalities seminar notes on recent progress
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London ; Amsterdam ; Don Mills, Ontario ; Sydney ; Tokyo
W. A. Benjamin
1973
|
| Schriftenreihe: | Mathematics lecture note series
53 |
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| Online-Zugang: | Inhaltsverzeichnis |
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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 | |
| 300 | |a viii, 184 Seiten | ||
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| 490 | 1 | |a Mathematics lecture note series |v 53 | |
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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
|
| any_adam_object | 1 |
| author | Garsia, Adriano Mario 1928- |
| author_GND | (DE-588)1074858115 |
| author_facet | Garsia, Adriano Mario 1928- |
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| author_sort | Garsia, Adriano Mario 1928- |
| author_variant | a m g am amg |
| building | Verbundindex |
| bvnumber | BV005746313 |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)631307581 (DE-599)BVBBV005746313 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005746313 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T11:44:19Z |
| institution | BVB |
| isbn | 0805331034 0805331026 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003587748 |
| oclc_num | 631307581 |
| open_access_boolean | |
| owner | DE-12 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-91 DE-BY-TUM DE-29T DE-83 DE-11 |
| owner_facet | DE-12 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-91 DE-BY-TUM DE-29T DE-83 DE-11 |
| 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 |
| 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 |
| volume_link | (DE-604)BV001899001 |
| work_keys_str_mv | AT garsiaadrianomario martingaleinequalitiesseminarnotesonrecentprogress |