Operator valued Hardy spaces:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2007
|
| Series: | Memoirs of the American Mathematical Society
881 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 188, number 881 (second of four numbers)." Includes bibliographical references |
| Physical Description: | VI, 64 S. |
| ISBN: | 9780821839805 |
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| 245 | 1 | 0 | |a Operator valued Hardy spaces |c Tao Mei |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 881 | |
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| 500 | |a Includes bibliographical references | ||
| 650 | 7 | |a Hardy-ruimten |2 gtt | |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
Chapter 1. Preliminaries 5
1. The noncommutative spaces Lp(M,L^.(fl)) 5
2. Operator valued Hardy spaces 7
3. Operator valued BMO spaces 11
Chapter 2. The Duality between H1 and BMO 15
1. The bounded map from L°°(L°°(R) g M, I?c) to BMOC(R,M) 15
2. The duality theorem of operator valued Ti1 and BMO 21
3. The atomic decomposition of operator valued Ti1 26
Chapter 3. The Maximal Inequality 28
1. The noncommutative Hardy Littlewood maximal inequality 28
2. The noncommutative Lebesgue differentiation theorem and
non tangential limit of Poisson integrals 32
Chapter 4. The Duality between Hp and BMO9,1 p 2. 36
1. Operator valued BMO9 (q 2) 36
2. The duality theorem of W and BMO9(1 p 2) 43
3. The equivalence of W and BMO (q 2) 47
Chapter 5. Reduction of BMO to dyadic BMO 52
1. BMO is the intersection of two dyadic BMO 52
2. The equivalence of Hpcr(R, M) and Lp(L°°(R) g M)(l p oo) 53
Chapter 6. Interpolation 56
1. Complex interpolation 56
2. Real interpolation 58
3. Fourier multipliers 59
Bibliography 63
|
| adam_txt |
Contents
Introduction 1
Chapter 1. Preliminaries 5
1. The noncommutative spaces Lp(M,L^.(fl)) 5
2. Operator valued Hardy spaces 7
3. Operator valued BMO spaces 11
Chapter 2. The Duality between H1 and BMO 15
1. The bounded map from L°°(L°°(R) g M, I?c) to BMOC(R,M) 15
2. The duality theorem of operator valued Ti1 and BMO 21
3. The atomic decomposition of operator valued Ti1 26
Chapter 3. The Maximal Inequality 28
1. The noncommutative Hardy Littlewood maximal inequality 28
2. The noncommutative Lebesgue differentiation theorem and
non tangential limit of Poisson integrals 32
Chapter 4. The Duality between Hp and BMO9,1 p 2. 36
1. Operator valued BMO9 (q 2) 36
2. The duality theorem of W and BMO9(1 p 2) 43
3. The equivalence of W and BMO'(q 2) 47
Chapter 5. Reduction of BMO to dyadic BMO 52
1. BMO is the intersection of two dyadic BMO 52
2. The equivalence of Hpcr(R, M) and Lp(L°°(R) g M)(l p oo) 53
Chapter 6. Interpolation 56
1. Complex interpolation 56
2. Real interpolation 58
3. Fourier multipliers 59
Bibliography 63 |
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| id | DE-604.BV022504897 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:57:05Z |
| indexdate | 2024-07-09T20:59:03Z |
| institution | BVB |
| isbn | 9780821839805 |
| language | English |
| lccn | 2007060755 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015711899 |
| oclc_num | 87807114 |
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| owner | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| physical | VI, 64 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Mei, Tao Verfasser aut Operator valued Hardy spaces Tao Mei Providence, RI American Mathematical Society 2007 VI, 64 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 881 "Volume 188, number 881 (second of four numbers)." Includes bibliographical references Hardy-ruimten gtt Operatortheorie gtt Hardy spaces Operator theory Operatortheorie (DE-588)4075665-8 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 s Operatortheorie (DE-588)4075665-8 s DE-604 Memoirs of the American Mathematical Society 881 (DE-604)BV008000141 881 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711899&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mei, Tao Operator valued Hardy spaces Memoirs of the American Mathematical Society Hardy-ruimten gtt Operatortheorie gtt Hardy spaces Operator theory Operatortheorie (DE-588)4075665-8 gnd Hardy-Raum (DE-588)4159109-4 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4159109-4 |
| title | Operator valued Hardy spaces |
| title_auth | Operator valued Hardy spaces |
| title_exact_search | Operator valued Hardy spaces |
| title_exact_search_txtP | Operator valued Hardy spaces |
| title_full | Operator valued Hardy spaces Tao Mei |
| title_fullStr | Operator valued Hardy spaces Tao Mei |
| title_full_unstemmed | Operator valued Hardy spaces Tao Mei |
| title_short | Operator valued Hardy spaces |
| title_sort | operator valued hardy spaces |
| topic | Hardy-ruimten gtt Operatortheorie gtt Hardy spaces Operator theory Operatortheorie (DE-588)4075665-8 gnd Hardy-Raum (DE-588)4159109-4 gnd |
| topic_facet | Hardy-ruimten Operatortheorie Hardy spaces Operator theory Hardy-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711899&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT meitao operatorvaluedhardyspaces |