Holdings: Optimal domain and integral extension of operators

Optimal domain and integral extension of operators: acting in function spaces

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Bibliographic Details
Format:	Electronic eBook
Language:	English
Published:	Basel ; Boston ; Berlin Birkhäuser [2008]
Series:	Operator theory: advances and applications vol. 180
Subjects:	Mathematik Operator Theory Mathematics Operator theory Linearer Operator Banach-Raum Funktionenraum
Online Access:	BTU01 TUM01 UBA01 UBT01 UER01 UPA01 Volltext Inhaltsverzeichnis
Physical Description:	1 Online-Ressource Diagramme
ISBN:	9783764386481
DOI:	10.1007/978-3-7643-8648-1

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adam_text	CONTENTS PREFACE IX 1 INTRODUCTION 1 2 QUASI-BANACH PUNCTION SPACES 2.1 GENERAL THEORY 18 2.2 THE P-TH POWER OF A QUASI-BANACH FUNCTION SPACE 38 2.3 COMPLETENESS CRITERIA 50 2.4 COMPLETELY CONTINUOUS OPERATORS 55 2.5 CONVEXITY AND CONCAVITY PROPERTIES OF LINEAR OPERATORS 62 3 VECTOR MEASURES AND INTEGRATION OPERATORS 3.1 VECTOR MEASURES 104 3.2 BOCHNER AND PETTIS INTEGRALS 148 3.3 COMPACTNESS PROPERTIES OF INTEGRATION OPERATORS 152 3.4 CONCAVITY OF L L {V) AND THE INTEGRATION OPERATOR I* FOR A VECTOR MEASURE V 168 4 OPTIMAL DOMAINS AND INTEGRAL EXTENSIONS 4.1 SET FUNCTIONS ASSOCIATED WITH LINEAR OPERATORS ON FUNCTION SPACES 182 4.2 OPTIMAL DOMAINS 185 4.3 KERNEL OPERATORS 199 5 P-TH POWER FACTORABLE OPERATORS 5.1 P-TH POWER FACTORABLE OPERATORS 210 5.2 CONNECTIONS WITH L P (M T ) 214 5.3 OPTIMALITY 222 5.4 COMPACTNESS CRITERIA 229 GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/985757310 DIGITALISIERT DURCH VIII CONTENTS 6 FACTORIZATION OF P-TH POWER FACTORABLE OPERATORS THROUGH L 9 -SPACES 6.1 BASIC RESULTS 239 6.2 GENERALIZED MAUREY-ROSENTHAL FACTORIZATION THEOREMS 248 6.3 BIDUAL (P, G)-POWER-CONCAVE OPERATORS 267 6.4 FACTORIZATION OF THE INTEGRATION OPERATOR 283 7 OPERATORS FROM CLASSICAL HARMONIE ANALYSIS 7.1 THE FOURIER TRANSFORM 298 7.2 CONVOLUTION OPERATORS ACTING IN L X (G) 319 7.3 OPERATORS ACTING IN L P {G) VIA CONVOLUTION WITH FUNETIONS 335 7.4 OPERATORS ACTING IN LP{G) VIA CONVOLUTION WITH MEASURES 347 7.5 P-TH POWER FACTORABILITY 367 BIBLIOGRAPHY 379 LIST OF SYMBOLS 389 INDEX 395
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isbn	9783764386481
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publishDate	2008
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publisher	Birkhäuser
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series	Operator theory: advances and applications
series2	Operator theory: advances and applications
spelling	Optimal domain and integral extension of operators acting in function spaces Susumu Okada ; Werner J. Ricker ; Enrique A. Sánchez Pérez Basel ; Boston ; Berlin Birkhäuser [2008] © 2008 1 Online-Ressource Diagramme txt rdacontent c rdamedia cr rdacarrier Operator theory: advances and applications vol. 180 Mathematik Operator Theory Mathematics Operator theory Linearer Operator (DE-588)4167721-3 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s Banach-Raum (DE-588)4004402-6 s Funktionenraum (DE-588)4134834-5 s DE-604 Okada, Susumu Sonstige (DE-588)135773415 oth Ricker, Werner J. 1954- Sonstige (DE-588)121274306 oth Sánchez Pérez, Enrique A. Sonstige (DE-588)1053695306 oth Erscheint auch als Druck-Ausgabe 978-3-7643-8647-4 Operator theory: advances and applications vol. 180 (DE-604)BV035421307 180 https://doi.org/10.1007/978-3-7643-8648-1 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017480596&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Optimal domain and integral extension of operators acting in function spaces Operator theory: advances and applications Mathematik Operator Theory Mathematics Operator theory Linearer Operator (DE-588)4167721-3 gnd Banach-Raum (DE-588)4004402-6 gnd Funktionenraum (DE-588)4134834-5 gnd
subject_GND	(DE-588)4167721-3 (DE-588)4004402-6 (DE-588)4134834-5
title	Optimal domain and integral extension of operators acting in function spaces
title_auth	Optimal domain and integral extension of operators acting in function spaces
title_exact_search	Optimal domain and integral extension of operators acting in function spaces
title_full	Optimal domain and integral extension of operators acting in function spaces Susumu Okada ; Werner J. Ricker ; Enrique A. Sánchez Pérez
title_fullStr	Optimal domain and integral extension of operators acting in function spaces Susumu Okada ; Werner J. Ricker ; Enrique A. Sánchez Pérez
title_full_unstemmed	Optimal domain and integral extension of operators acting in function spaces Susumu Okada ; Werner J. Ricker ; Enrique A. Sánchez Pérez
title_short	Optimal domain and integral extension of operators
title_sort	optimal domain and integral extension of operators acting in function spaces
title_sub	acting in function spaces
topic	Mathematik Operator Theory Mathematics Operator theory Linearer Operator (DE-588)4167721-3 gnd Banach-Raum (DE-588)4004402-6 gnd Funktionenraum (DE-588)4134834-5 gnd
topic_facet	Mathematik Operator Theory Mathematics Operator theory Linearer Operator Banach-Raum Funktionenraum
url	https://doi.org/10.1007/978-3-7643-8648-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017480596&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035421307
work_keys_str_mv	AT okadasusumu optimaldomainandintegralextensionofoperatorsactinginfunctionspaces AT rickerwernerj optimaldomainandintegralextensionofoperatorsactinginfunctionspaces AT sanchezperezenriquea optimaldomainandintegralextensionofoperatorsactinginfunctionspaces

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