Hardy spaces on the Euclidean space:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2001
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 293 - 302 |
| Physical Description: | XIII, 305 S. 24 cm |
| ISBN: | 4431703195 |
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MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Foreword v
Recollections of My Good Friend, Akihito Uchiyama by Peter W. Jones vi
Preface xi
0. Introduction 1
1. Lipschitz spaces and BMO 13
2. Atomic Hp spaces 29
3. Operators on Hp 39
4. Atomic decomposition from grand maximal functions 51
5. Atomic decomposition from S functions 61
6. Hardy Littlewood Fefferman Stein type inequalities, 1 71
7. Hardy Littlewood Fefferman Stein type inequalities, 2 83
8*Hardy Littlewood Fefferman Stein type inequalities, 3 101
9. Grand maximal functions from radial maximal functions 109
10! 5 functions from ^ functions 111
11. Good A inequalities for nontangential maximal functions
and S functions of harmonic functions 121
12. A direct proof of
1/ f(x)g(x)dx C(n) ||Si(tAu)||L»IMlBMO 129
MR
13. A direct proof of
/ f(x)g{x)dx C(n) HJViuH^, HpIIbmo 135
14. Subharmonicity, 1 145
15. Subharmonicity, 2 161
xiii
16. Preliminaries for characterizations of Hp in terms of
Fourier multipliers 167
17. Characterization of Hp in terms of Riesz transforms 173
18. Other results on the characterization of Hp in terms of
Fourier multipliers 177
19. Fefferman s original proof of
/ Rf(x) g(x)dx C(n)||fl/||Li||s||BMO 183
20. Varopoulos s proof of the above inequality 187
21. The Fefferman Stein decomposition of BMO 191
22. A constructive proof of the Fefferman Stein decomposition of BMO 201
23. Vector valued unimodular BMO functions 223
24. Extension of the Fefferman Stein decomposition of BMO, 1 229
25. Characterization of H1 in terms of Fourier multipliers 241
26. Extension of the Fefferman Stein decomposition of BMO, 2 253
27. Characterization of Hp in terms of Fourier multipliers 281
28. The one dimensional case 285
Appendix 289
References 293
Index 303
* These sections can be skipped.
|
| any_adam_object | 1 |
| author | Uchiyama, Akihito 1948-1997 |
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| dewey-full | 515.94 |
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014087083 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:57:25Z |
| institution | BVB |
| isbn | 4431703195 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009649877 |
| oclc_num | 248391057 |
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| owner_facet | DE-355 DE-BY-UBR DE-824 DE-634 DE-11 DE-188 |
| physical | XIII, 305 S. 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer monographs in mathematics |
| spelling | Uchiyama, Akihito 1948-1997 Verfasser (DE-588)123124581 aut Hardy spaces on the Euclidean space Akihito Uchiyama Berlin [u.a.] Springer 2001 XIII, 305 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Literaturverz. S. 293 - 302 Hardy-Raum Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009649877&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Uchiyama, Akihito 1948-1997 Hardy spaces on the Euclidean space Hardy-Raum Hardy-Raum (DE-588)4159109-4 gnd |
| subject_GND | (DE-588)4159109-4 |
| title | Hardy spaces on the Euclidean space |
| title_auth | Hardy spaces on the Euclidean space |
| title_exact_search | Hardy spaces on the Euclidean space |
| title_full | Hardy spaces on the Euclidean space Akihito Uchiyama |
| title_fullStr | Hardy spaces on the Euclidean space Akihito Uchiyama |
| title_full_unstemmed | Hardy spaces on the Euclidean space Akihito Uchiyama |
| title_short | Hardy spaces on the Euclidean space |
| title_sort | hardy spaces on the euclidean space |
| topic | Hardy-Raum Hardy-Raum (DE-588)4159109-4 gnd |
| topic_facet | Hardy-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009649877&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT uchiyamaakihito hardyspacesontheeuclideanspace |