Fatou type theorems: maximal functions and approach regions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Boston, Mass. ; Basel ; Berlin
Birkhäuser
1998
|
| Schriftenreihe: | Progress in Mathematics
147 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverzeichnis Seiten 135 - 148 |
| Beschreibung: | VIII, 152 Seiten graph. Darst. |
| ISBN: | 3764339764 0817639764 |
Internformat
MARC
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| 245 | 1 | 0 | |a Fatou type theorems |b maximal functions and approach regions |c Fausto Di Biase |
| 264 | 1 | |a Boston, Mass. ; Basel ; Berlin |b Birkhäuser |c 1998 | |
| 300 | |a VIII, 152 Seiten |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | Contents
Preface vii
I Background 1
1 Prelude 3
1.1 The Unit Disc 3
1.2 Spaces of Homogeneous Type 16
1.3 Euclidean Half Spaces 18
1.4 Maximal Operators and Convergence 24
2 Preliminary Results 27
2.1 Approach Regions 27
2.2 The Nagel Stein Approach Regions 43
2.3 Goals, Problems and Results 51
3 The Geometric Contexts 55
3.1 NTA Domains in Rn 55
3.2 Domains in C 59
3.3 Trees 73
II Exotic Approach Regions 85
4 Approach Regions for Trees 87
4.1 The Dyadic Tree 87
4.2 The General Tree 88
5 Embedded Trees 99
5.1 The Unit Disc 99
5.2 Quasi Dyadic Decompositions 104
5.3 The Maximal Decomposition of a Ball 108
vi CONTENTS
5.4 Admissible Embeddings 110
6 Applications 123
6.1 Euclidean Half Spaces 124
6.2 NTA Domains in W1 124
6.3 Finite Type Domains in C2 125
6.4 Strongly Pseudoconvex Domains in C 128
Notes 129
List of Figures 131
Guide to Notation 133
Bibliography 135
Index 149
|
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| id | DE-604.BV011776392 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:34Z |
| institution | BVB |
| isbn | 3764339764 0817639764 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007947689 |
| oclc_num | 634243920 |
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| owner | DE-20 DE-188 |
| owner_facet | DE-20 DE-188 |
| physical | VIII, 152 Seiten graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in Mathematics |
| series2 | Progress in Mathematics |
| spelling | Di Biase, Fausto Verfasser aut Fatou type theorems maximal functions and approach regions Fausto Di Biase Boston, Mass. ; Basel ; Berlin Birkhäuser 1998 VIII, 152 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Progress in Mathematics 147 Literaturverzeichnis Seiten 135 - 148 Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Randverhalten (DE-588)4300459-3 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 s Mehrere komplexe Variable (DE-588)4169285-8 s Randverhalten (DE-588)4300459-3 s DE-604 Progress in Mathematics 147 (DE-604)BV000004120 147 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007947689&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Di Biase, Fausto Fatou type theorems maximal functions and approach regions Progress in Mathematics Holomorphe Funktion (DE-588)4025645-5 gnd Randverhalten (DE-588)4300459-3 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd |
| subject_GND | (DE-588)4025645-5 (DE-588)4300459-3 (DE-588)4169285-8 |
| title | Fatou type theorems maximal functions and approach regions |
| title_auth | Fatou type theorems maximal functions and approach regions |
| title_exact_search | Fatou type theorems maximal functions and approach regions |
| title_full | Fatou type theorems maximal functions and approach regions Fausto Di Biase |
| title_fullStr | Fatou type theorems maximal functions and approach regions Fausto Di Biase |
| title_full_unstemmed | Fatou type theorems maximal functions and approach regions Fausto Di Biase |
| title_short | Fatou type theorems |
| title_sort | fatou type theorems maximal functions and approach regions |
| title_sub | maximal functions and approach regions |
| topic | Holomorphe Funktion (DE-588)4025645-5 gnd Randverhalten (DE-588)4300459-3 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd |
| topic_facet | Holomorphe Funktion Randverhalten Mehrere komplexe Variable |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007947689&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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