Hardy operators, function spaces and embeddings:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 326 S. graph. Darst. |
| ISBN: | 3540219722 |
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| 245 | 1 | 0 | |a Hardy operators, function spaces and embeddings |c David E. Edmunds ; W. Desmond Evans |
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Record in the Search Index
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| adam_text | DAVID E. EDMUNDS W. DESMOND EVANS HARDY OPERATORS, FUNCTION SPACES AND
EMBEDDINGS WITH 6 FIGURES & SPRINGER CONTENTS PRELIMINARIES 1 1.1
HAUSDORFF AND MINKOWSKI DIMENSIONS 1 1.2 THE AREA AND COAREA FORMULAE 3
1.3 APPROXIMATION NUMBERS 6 1.4 INEQUALITIES 9 HARDY-TYPE OPERATORS 11
2.1 INTRODUCTION 11 2.2 BOUNDEDNESS OF T 12 2.3 COMPACTNESS OF T 17 2.4
APPROXIMATION NUMBERS OF T 23 2.4.1 THE HARDY OPERATOR ON A FINITE
INTERVAL 24 2.4.2 THE GENERAL CASE: PRELIMINARIES 31 2.4.3 ESTIMATES FOR
A M (T), 1 P Q OO 39 2.4.4 ESTIMATES FOR A N (T) WHEN P = 1 OR Q *
OO 42 2.4.5 APPROXIMATION NUMBERS OF T WHEN 1 Q P OO .... 43 2.4.6
ASYMPTOTIC RESULTS FOR P * Q E (1, OO) 43 2.4.7 THE CASES P = 1, OO 50
2.5 L A AND L A ^ W CLASSES 51 2.6 HARDY-TYPE OPERATORS ON TREES 55
2.6.1 ANALYSIS ON TREES 55 2.6.2 BOUNDEDNESS OF T 57 2.7 COMPACTNESS OF
T AND ITS APPROXIMATION NUMBERS 58 2.8 NOTES * 59 BANACH FUNCTION SPACES
63 3.1 INTRODUCTION 63 3.1.1 DEFINITIONS 64 3.2 REARRANGEMENTS 69 3.3
REARRANGEMENT-INVARIANT SPACES 84 3.4 EXAMPLES 90 X CONTENTS 3.4.1
LORENTZ, LORENTZ-ZYGMUND AND GENERALISED LORENTZ-ZYGMUND SPACES 90 3.4.2
ORLICZ SPACES 96 3.4.3 LORENTZ-KARAMATA SPACES 108 3.4.4 DECOMPOSITIONS
121 3.5 OPERATORS OF JOINT WEAK TYPE 125 3.5.1 DEFINITIONS 125 3.5.2
OPERATORS OF STRONG AND WEAK TYPE 128 3.6
BESSEL-LORENTZ-KARAMATA-POTENTIAL SPACES 133 3.6.1 ABSTRACT SOBOLEV
SPACES 133 3.6.2 BESSEL-LORENTZ-KARAMATA-POTENTIAL SPACES 134 3.6.3
SUB-LIMITING EMBEDDINGS 139 3.6.4 LIMITING EMBEDDINGS 140 3.6.5
SUPER-LIMITING EMBEDDINGS 144 3.7 EXAMPLES 152 3.8 OTHER SPACES 155 3.9
NOTES 158 4 POINCARE AND HARDY INEQUALITIES 161 4.1 INTRODUCTION 161 4.2
POINCARE INEQUALITIES IN BFSS 164 4.2.1 POINCARE AND FRIEDRICHS
INEQUALITIES 164 4.2.2 EXAMPLES 174 4.2.3 HIGHER-ORDER CASES 183 4.3
CONCRETE SPACES 185 4.3.1 CLASSES OF DOMAINS 185 4.3.2 SOBOLEV AND
POINCARE INEQUALITIES 193 4.4 HARDY INEQUALITIES 207 4.5 NOTES 217 5
GENERALISED RIDGED DOMAINS 219 5.1 INTRODUCTION 219 5.1.1 RIDGES AND
SKELETONS 220 5.1.2 SIMPLE RIDGES IN R 2 224 5.2 GENERALISED RIDGED
DOMAINS 228 5.3 MEASURE OF NON-COMPACTNESS 234 5.4 ANALYSIS ON GRD 244
5.4.1 THE MAP T AND ITS APPROXIMATE INVERSE M 245 5.4.2 EQUIVALENT
EMBEDDINGS 249 5.4.3 EQUIVALENT POINCARE INEQUALITIES 251 5.5
COMPACTNESS OF E 252 5.5.1 LOCAL COMPACTNESS 252 5.5.2 MEASURE OF
NON-COMPACTNESS 254 5.6 EMBEDDING THEOREMS 261 CONTENTS XI 5.7 THE
POINCARE INEQUALITY AND A(E) 266 5.8 NOTES 273 6 APPROXIMATION NUMBERS
OF SOBOLEV EMBEDDINGS 275 6.1 INTRODUCTION 275 6.2 SOME QUOTIENT SPACE
NORMS 277 6.3 DIRICHLET-NEUMANN BRACKETING IN L P 282 6.4 FURTHER
ASYMPTOTIC ESTIMATES FOR A GRD Q 294 6.5 NOTES 305 REFERENCES 307 AUTHOR
INDEX 319 SUBJECT INDEX 323 NOTATION INDEX 325
|
| any_adam_object | 1 |
| author | Edmunds, David E. 1931- Evans, W. D. 1940- |
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| author_role | aut aut |
| author_sort | Edmunds, David E. 1931- |
| author_variant | d e e de dee w d e wd wde |
| building | Verbundindex |
| bvnumber | BV019440374 |
| callnumber-first | Q - Science |
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| dewey-full | 515/.94 |
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T20:00:13Z |
| institution | BVB |
| isbn | 3540219722 |
| language | English |
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| physical | XII, 326 S. graph. Darst. |
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| spelling | Edmunds, David E. 1931- Verfasser (DE-588)129315176 aut Hardy operators, function spaces and embeddings David E. Edmunds ; W. Desmond Evans Berlin [u.a.] Springer 2004 XII, 326 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Espaces fonctionnels Hardy, Espaces de Plongements (Mathématiques) Embeddings (Mathematics) Function spaces Hardy spaces Banach-Raum (DE-588)4004402-6 gnd rswk-swf Integraloperator (DE-588)4131247-8 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Sobolev-Einbettung (DE-588)4181713-8 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Sobolev-Raum (DE-588)4055345-0 s Integraloperator (DE-588)4131247-8 s Sobolev-Einbettung (DE-588)4181713-8 s DE-604 Evans, W. D. 1940- Verfasser (DE-588)129315184 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Edmunds, David E. 1931- Evans, W. D. 1940- Hardy operators, function spaces and embeddings Espaces fonctionnels Hardy, Espaces de Plongements (Mathématiques) Embeddings (Mathematics) Function spaces Hardy spaces Banach-Raum (DE-588)4004402-6 gnd Integraloperator (DE-588)4131247-8 gnd Sobolev-Raum (DE-588)4055345-0 gnd Sobolev-Einbettung (DE-588)4181713-8 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4131247-8 (DE-588)4055345-0 (DE-588)4181713-8 |
| title | Hardy operators, function spaces and embeddings |
| title_auth | Hardy operators, function spaces and embeddings |
| title_exact_search | Hardy operators, function spaces and embeddings |
| title_full | Hardy operators, function spaces and embeddings David E. Edmunds ; W. Desmond Evans |
| title_fullStr | Hardy operators, function spaces and embeddings David E. Edmunds ; W. Desmond Evans |
| title_full_unstemmed | Hardy operators, function spaces and embeddings David E. Edmunds ; W. Desmond Evans |
| title_short | Hardy operators, function spaces and embeddings |
| title_sort | hardy operators function spaces and embeddings |
| topic | Espaces fonctionnels Hardy, Espaces de Plongements (Mathématiques) Embeddings (Mathematics) Function spaces Hardy spaces Banach-Raum (DE-588)4004402-6 gnd Integraloperator (DE-588)4131247-8 gnd Sobolev-Raum (DE-588)4055345-0 gnd Sobolev-Einbettung (DE-588)4181713-8 gnd |
| topic_facet | Espaces fonctionnels Hardy, Espaces de Plongements (Mathématiques) Embeddings (Mathematics) Function spaces Hardy spaces Banach-Raum Integraloperator Sobolev-Raum Sobolev-Einbettung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012893862&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT edmundsdavide hardyoperatorsfunctionspacesandembeddings AT evanswd hardyoperatorsfunctionspacesandembeddings |