Four lectures on real H[p] spaces:
This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields. It consists of four chapters. Chapter 1 introduces the basic theory of Fefferman-Stein on real HP spaces. Chapter 2 describes the atomic decomposition theory...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1995
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields. It consists of four chapters. Chapter 1 introduces the basic theory of Fefferman-Stein on real HP spaces. Chapter 2 describes the atomic decomposition theory and the molecular decomposition theory of real HP spaces. In addition, the dual spaces of real HP spaces, the interpolation of operators in HP spaces, and the interpolation of HP spaces are also discussed in chapter 2. The properties of several basic operators in HP spaces are discussed in chapter 3 in detail. Among them, some basic results are contributed by Chinese mathematicians, such as the decomposition theory of weak HP spaces and its applications to the study on the sharpness of singular integrals, a new method to deal with the elliptic Riesz means in HP spaces, and the transference theorem of HP-multipliers etc. The last chapter is devoted to applications of real HP spaces to approximation theory |
| Beschreibung: | vii, 217 p |
| ISBN: | 9789812831194 |
Internformat
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| 520 | |a This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields. It consists of four chapters. Chapter 1 introduces the basic theory of Fefferman-Stein on real HP spaces. Chapter 2 describes the atomic decomposition theory and the molecular decomposition theory of real HP spaces. In addition, the dual spaces of real HP spaces, the interpolation of operators in HP spaces, and the interpolation of HP spaces are also discussed in chapter 2. The properties of several basic operators in HP spaces are discussed in chapter 3 in detail. Among them, some basic results are contributed by Chinese mathematicians, such as the decomposition theory of weak HP spaces and its applications to the study on the sharpness of singular integrals, a new method to deal with the elliptic Riesz means in HP spaces, and the transference theorem of HP-multipliers etc. The last chapter is devoted to applications of real HP spaces to approximation theory | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Lu, Shanzhen 1939- |
| author_facet | Lu, Shanzhen 1939- |
| author_role | aut |
| author_sort | Lu, Shanzhen 1939- |
| author_variant | s l sl |
| building | Verbundindex |
| bvnumber | BV044636867 |
| classification_rvk | SK 450 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00005189 (OCoLC)1012732640 (DE-599)BVBBV044636867 |
| dewey-full | 515.732 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.732 |
| dewey-search | 515.732 |
| dewey-sort | 3515.732 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636867 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812831194 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034840 |
| oclc_num | 1012732640 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | vii, 217 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Lu, Shanzhen 1939- Verfasser aut Four lectures on real H[p] spaces Shanzhen Lu Singapore World Scientific Pub. Co. c1995 vii, 217 p txt rdacontent c rdamedia cr rdacarrier This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields. It consists of four chapters. Chapter 1 introduces the basic theory of Fefferman-Stein on real HP spaces. Chapter 2 describes the atomic decomposition theory and the molecular decomposition theory of real HP spaces. In addition, the dual spaces of real HP spaces, the interpolation of operators in HP spaces, and the interpolation of HP spaces are also discussed in chapter 2. The properties of several basic operators in HP spaces are discussed in chapter 3 in detail. Among them, some basic results are contributed by Chinese mathematicians, such as the decomposition theory of weak HP spaces and its applications to the study on the sharpness of singular integrals, a new method to deal with the elliptic Riesz means in HP spaces, and the transference theorem of HP-multipliers etc. The last chapter is devoted to applications of real HP spaces to approximation theory Hardy spaces Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hp-Raum (DE-588)4160706-5 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Hp-Raum (DE-588)4160706-5 s DE-604 Hardy-Raum (DE-588)4159109-4 s Erscheint auch als Druck-Ausgabe 9789810221584 Erscheint auch als Druck-Ausgabe 9810221584 http://www.worldscientific.com/worldscibooks/10.1142/2650#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Lu, Shanzhen 1939- Four lectures on real H[p] spaces Hardy spaces Hardy-Raum (DE-588)4159109-4 gnd Hp-Raum (DE-588)4160706-5 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4159109-4 (DE-588)4160706-5 (DE-588)4023453-8 |
| title | Four lectures on real H[p] spaces |
| title_auth | Four lectures on real H[p] spaces |
| title_exact_search | Four lectures on real H[p] spaces |
| title_full | Four lectures on real H[p] spaces Shanzhen Lu |
| title_fullStr | Four lectures on real H[p] spaces Shanzhen Lu |
| title_full_unstemmed | Four lectures on real H[p] spaces Shanzhen Lu |
| title_short | Four lectures on real H[p] spaces |
| title_sort | four lectures on real h p spaces |
| topic | Hardy spaces Hardy-Raum (DE-588)4159109-4 gnd Hp-Raum (DE-588)4160706-5 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Hardy spaces Hardy-Raum Hp-Raum Harmonische Analyse |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2650#t=toc |
| work_keys_str_mv | AT lushanzhen fourlecturesonrealhpspaces |