Verfügbarkeit: Hardy spaces and potential theory on C1 domains in Riemannian manifolds

Hardy spaces and potential theory on C1 domains in Riemannian manifolds:

The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Dindoš, Martin (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Providence, RI American Mathematical Society 2008
Schriftenreihe:	Memoirs of the American Mathematical Society 894
Schlagworte:	Hardy spaces Riemannian manifolds Potential theory (Mathematics) Hardy-Raum Potenzialtheorie Riemannscher Raum
Online-Zugang:	Inhaltsverzeichnis
Zusammenfassung:	The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.
Beschreibung:	"Volume 191, number 894 (fourth of 5 numbers)." Includes bibliographical references
Beschreibung:	VI, 78 S.
ISBN:	9780821840436

Internformat

MARC


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Datensatz im Suchindex

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adam_text	I /R EMOIRS -L * X. OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 894 HARDY SPACES AND POTENTIAL THEORY ON C 1 DOMAINS IN RIEMANNIAN MANIFOLDS MARTIN DINDOS JANUARY 2008 * VOLUME 191 * NUMBER 894 (FOURTH OF 5 NUMBERS) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS ABSTRACT VI CHAPTER 0. INTRODUCTION 1 CHAPTER 1. BACKGROUND AND DEFINITIONS 4 §1.1. NOTATION, TERMINOLOGY AND KNOWN RESULTS 4 §1.2. HARDY SPACES AND LAYER POTENTIALS 6 CHAPTER 2. THE BOUNDARY LAYER POTENTIALS 9 §2.1. COMPACTNESS OF OPERATORS K, K* 9 §2.2. INVERTIBILITY OF L + K, L + K* 19 CHAPTER 3. THE DIRICHLET PROBLEM 21 §3.1. W BOUNDARY DATA 21 §3.2. HARDY SPACE BOUNDARY DATA 23 §3.3. HOLDER SPACE BOUNDARY DATA 25 CHAPTER 4. THE NEUMANN PROBLEM 27 §4.1. LP BOUNDARY DATA 27 §4.2. HARDY SPACE BOUNDARY DATA 27 §4.3. HOLDER SPACE BOUNDARY DATA 29 CHAPTER 5. COMPACTNESS OF LAYER POTENTIALS, PART II; THE DIRICHLET REGU- LARITY PROBLEM 31 §5.1. PRELIMINARIES 31 §5.2. COMPACTNESS AND INVERTIBILITY OF K ON SOBOLEV SPACE H L P 33 §5.3. COMPACTNESS AND INVERTIBILITY OF K ON HARDY-SOBOLEV SPACE H 1 38 §5.4. DIRICHLET REGULARITY PROBLEM, SOBOLEV H 1 (1 P OO) DATA 41 §5.5. DIRICHLET REGULARITY PROBLEM, H L P ((N - L)/N P 1) DATA 42 CHAPTER 6. THE EQUIVALENCE OF HARDY SPACE DEFINITIONS 44 §6.1. PRELIMINARIES 44 §6.2. C-SUHARMONICITY 45 §6.3. THE MAIN STEP 47 §6.4. THE EQUIVALENCE THEOREM ON C 1 DOMAINS 50 §6.5. THE EQUIVALENCE THEOREM ON LIPSCHITZ DOMAINS 51 APPENDIX A. VARIABLE COEFFICIENT CAUCHY INTEGRALS 53 APPENDIX B. ONE RESULT ON THE MAXIMAL OPERATOR 65 BIBLIOGRAPHY 77
adam_txt	I\/R EMOIRS -L * X. OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 894 HARDY SPACES AND POTENTIAL THEORY ON C 1 DOMAINS IN RIEMANNIAN MANIFOLDS MARTIN DINDOS JANUARY 2008 * VOLUME 191 * NUMBER 894 (FOURTH OF 5 NUMBERS) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS ABSTRACT VI CHAPTER 0. INTRODUCTION 1 CHAPTER 1. BACKGROUND AND DEFINITIONS 4 §1.1. NOTATION, TERMINOLOGY AND KNOWN RESULTS 4 §1.2. HARDY SPACES AND LAYER POTENTIALS 6 CHAPTER 2. THE BOUNDARY LAYER POTENTIALS 9 §2.1. COMPACTNESS OF OPERATORS K, K* 9 §2.2. INVERTIBILITY OF \L + K, \L + K* 19 CHAPTER 3. THE DIRICHLET PROBLEM 21 §3.1. W BOUNDARY DATA 21 §3.2. HARDY SPACE BOUNDARY DATA 23 §3.3. HOLDER SPACE BOUNDARY DATA 25 CHAPTER 4. THE NEUMANN PROBLEM 27 §4.1. LP BOUNDARY DATA 27 §4.2. HARDY SPACE BOUNDARY DATA 27 §4.3. HOLDER SPACE BOUNDARY DATA 29 CHAPTER 5. COMPACTNESS OF LAYER POTENTIALS, PART II; THE DIRICHLET REGU- LARITY PROBLEM 31 §5.1. PRELIMINARIES 31 §5.2. COMPACTNESS AND INVERTIBILITY OF K ON SOBOLEV SPACE H L ' P 33 §5.3. COMPACTNESS AND INVERTIBILITY OF K ON HARDY-SOBOLEV SPACE H 1 38 §5.4. DIRICHLET REGULARITY PROBLEM, SOBOLEV H 1 (1 P OO) DATA 41 §5.5. DIRICHLET REGULARITY PROBLEM, H L ' P ((N - L)/N P 1) DATA 42 CHAPTER 6. THE EQUIVALENCE OF HARDY SPACE DEFINITIONS 44 §6.1. PRELIMINARIES 44 §6.2. C-SUHARMONICITY 45 §6.3. THE MAIN STEP 47 §6.4. THE EQUIVALENCE THEOREM ON C 1 DOMAINS 50 §6.5. THE EQUIVALENCE THEOREM ON LIPSCHITZ DOMAINS 51 APPENDIX A. VARIABLE COEFFICIENT CAUCHY INTEGRALS 53 APPENDIX B. ONE RESULT ON THE MAXIMAL OPERATOR 65 BIBLIOGRAPHY 77
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index_date	2024-07-02T19:57:53Z
indexdate	2024-07-09T21:12:13Z
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spelling	Dindoš, Martin Verfasser aut Hardy spaces and potential theory on C1 domains in Riemannian manifolds Martin Dindoš Providence, RI American Mathematical Society 2008 VI, 78 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 894 "Volume 191, number 894 (fourth of 5 numbers)." Includes bibliographical references The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors. Hardy spaces Riemannian manifolds Potential theory (Mathematics) Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 s Riemannscher Raum (DE-588)4128295-4 s Potenzialtheorie (DE-588)4046939-6 s DE-604 Memoirs of the American Mathematical Society 894 (DE-604)BV008000141 894 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016358171&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Dindoš, Martin Hardy spaces and potential theory on C1 domains in Riemannian manifolds Memoirs of the American Mathematical Society Hardy spaces Riemannian manifolds Potential theory (Mathematics) Hardy-Raum (DE-588)4159109-4 gnd Potenzialtheorie (DE-588)4046939-6 gnd Riemannscher Raum (DE-588)4128295-4 gnd
subject_GND	(DE-588)4159109-4 (DE-588)4046939-6 (DE-588)4128295-4
title	Hardy spaces and potential theory on C1 domains in Riemannian manifolds
title_auth	Hardy spaces and potential theory on C1 domains in Riemannian manifolds
title_exact_search	Hardy spaces and potential theory on C1 domains in Riemannian manifolds
title_exact_search_txtP	Hardy spaces and potential theory on C1 domains in Riemannian manifolds
title_full	Hardy spaces and potential theory on C1 domains in Riemannian manifolds Martin Dindoš
title_fullStr	Hardy spaces and potential theory on C1 domains in Riemannian manifolds Martin Dindoš
title_full_unstemmed	Hardy spaces and potential theory on C1 domains in Riemannian manifolds Martin Dindoš
title_short	Hardy spaces and potential theory on C1 domains in Riemannian manifolds
title_sort	hardy spaces and potential theory on c1 domains in riemannian manifolds
topic	Hardy spaces Riemannian manifolds Potential theory (Mathematics) Hardy-Raum (DE-588)4159109-4 gnd Potenzialtheorie (DE-588)4046939-6 gnd Riemannscher Raum (DE-588)4128295-4 gnd
topic_facet	Hardy spaces Riemannian manifolds Potential theory (Mathematics) Hardy-Raum Potenzialtheorie Riemannscher Raum
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016358171&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV008000141
work_keys_str_mv	AT dindosmartin hardyspacesandpotentialtheoryonc1domainsinriemannianmanifolds

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