Verfügbarkeit: Hardy spaces on Ahlfors-regular quasi metric spaces

Hardy spaces on Ahlfors-regular quasi metric spaces: a sharp theory

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Bibliographische Detailangaben
Hauptverfasser:	Alvarado, Ryan (VerfasserIn), Mitrea, Marius (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham [u.a.] Springer 2015
Schriftenreihe:	Lecture Notes in Mathematics 2142
Schlagworte:	Mathematics Fourier analysis Functional analysis Differential equations, partial Fourier Analysis Real Functions Functional Analysis Measure and Integration Partial Differential Equations Mathematik Hardy-Raum Quasimetrik
Online-Zugang:	Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (VIII, 486 S.) 17 illus., 12 illus. in color
ISBN:	9783319181325 9783319181318
ISSN:	0075-8434
DOI:	10.1007/978-3-319-18132-5

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MARC


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Datensatz im Suchindex

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adam_text	HARDY SPACES ON AHLFORS-REGULAR QUASI METRIC SPACES / ALVARADO, RYAN : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION. - GEOMETRY OF QUASI-METRIC SPACES ANALYSIS ON SPACES OF HOMOGENEOUS TYPE MAXIMAL THEORY OF HARDY SPACES ATOMIC THEORY OF HARDY SPACES MOLECULAR AND IONIC THEORY OF HARDY SPACES FURTHER RESULTS BOUNDEDNESS OF LINEAR OPERATORS DEFINED ON HP(X) BESOV AND TRIEBEL-LIZORKIN SPACES ON AHLFORS-REGULAR QUASI-METRIC SPACES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. HARDY SPACES ON AHLFORS-REGULAR QUASI METRIC SPACES / ALVARADO, RYAN : 2015 ABSTRACT / INHALTSTEXT SYSTEMATICALLY BUILDING AN OPTIMAL THEORY, THIS MONOGRAPH DEVELOPS AND EXPLORES SEVERAL APPROACHES TO HARDY SPACES IN THE SETTING OF AHLFORS-REGULAR QUASI-METRIC SPACES. THE TEXT IS BROADLY DIVIDED INTO TWO MAIN PARTS. THE FIRST PART GIVES ATOMIC, MOLECULAR, AND GRAND MAXIMAL FUNCTION CHARACTERIZATIONS OF HARDY SPACES AND FORMULATES SHARP VERSIONS OF BASIC ANALYTICAL TOOLS FOR QUASI-METRIC SPACES, SUCH AS A LEBESGUE DIFFERENTIATION THEOREM WITH MINIMAL DEMANDS ON THE UNDERLYING MEASURE, A MAXIMALLY SMOOTH APPROXIMATION TO THE IDENTITY AND A CALDERON-ZYGMUND DECOMPOSITION FOR DISTRIBUTIONS. THESE RESULTS ARE OF INDEPENDENT INTEREST. THE SECOND PART ESTABLISHES VERY GENERAL CRITERIA GUARANTEEING THAT A LINEAR OPERATOR ACTS CONTINUOUSLY FROM A HARDY SPACE INTO A TOPOLOGICAL VECTOR SPACE, EMPHASIZING THE ROLE OF THE ACTION OF THE OPERATOR ON ATOMS. APPLICATIONS INCLUDE THE SOLVABILITY OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS IN THE UPPER-HALF SPACE WITH BOUNDARY DATA FROM HARDY SPACES. THE TOOLS ESTABLISHED IN THE FIRST PART ARE THEN USED TO DEVELOP A SHARP THEORY OF BESOV AND TRIEBEL-LIZORKIN SPACES IN AHLFORS-REGULAR QUASI-METRIC SPACES. THE MONOGRAPH IS LARGELY SELF-CONTAINED AND IS INTENDED FOR AN AUDIENCE OF MATHEMATICIANS, GRADUATE STUDENTS AND PROFESSIONALS WITH A MATHEMATICAL BACKGROUND WHO ARE INTERESTED IN THE INTERPLAY BETWEEN ANALYSIS AND GEOMETRY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Alvarado, Ryan Mitrea, Marius
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discipline	Mathematik
doi_str_mv	10.1007/978-3-319-18132-5
format	Electronic eBook
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spelling	Alvarado, Ryan Verfasser (DE-588)1073927822 aut Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory Ryan Alvarado ; Marius Mitrea Cham [u.a.] Springer 2015 1 Online-Ressource (VIII, 486 S.) 17 illus., 12 illus. in color txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2142 0075-8434 Mathematics Fourier analysis Functional analysis Differential equations, partial Fourier Analysis Real Functions Functional Analysis Measure and Integration Partial Differential Equations Mathematik Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Quasimetrik (DE-588)4830037-8 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 s Quasimetrik (DE-588)4830037-8 s 1\p DE-604 Mitrea, Marius Verfasser (DE-588)1026933625 aut Lecture Notes in Mathematics 2142 (DE-604)BV014303148 2142 https://doi.org/10.1007/978-3-319-18132-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101517&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101517&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Alvarado, Ryan Mitrea, Marius Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory Lecture Notes in Mathematics Mathematics Fourier analysis Functional analysis Differential equations, partial Fourier Analysis Real Functions Functional Analysis Measure and Integration Partial Differential Equations Mathematik Hardy-Raum (DE-588)4159109-4 gnd Quasimetrik (DE-588)4830037-8 gnd
subject_GND	(DE-588)4159109-4 (DE-588)4830037-8
title	Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory
title_auth	Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory
title_exact_search	Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory
title_full	Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory Ryan Alvarado ; Marius Mitrea
title_fullStr	Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory Ryan Alvarado ; Marius Mitrea
title_full_unstemmed	Hardy spaces on Ahlfors-regular quasi metric spaces a sharp theory Ryan Alvarado ; Marius Mitrea
title_short	Hardy spaces on Ahlfors-regular quasi metric spaces
title_sort	hardy spaces on ahlfors regular quasi metric spaces a sharp theory
title_sub	a sharp theory
topic	Mathematics Fourier analysis Functional analysis Differential equations, partial Fourier Analysis Real Functions Functional Analysis Measure and Integration Partial Differential Equations Mathematik Hardy-Raum (DE-588)4159109-4 gnd Quasimetrik (DE-588)4830037-8 gnd
topic_facet	Mathematics Fourier analysis Functional analysis Differential equations, partial Fourier Analysis Real Functions Functional Analysis Measure and Integration Partial Differential Equations Mathematik Hardy-Raum Quasimetrik
url	https://doi.org/10.1007/978-3-319-18132-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101517&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028101517&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014303148
work_keys_str_mv	AT alvaradoryan hardyspacesonahlforsregularquasimetricspacesasharptheory AT mitreamarius hardyspacesonahlforsregularquasimetricspacesasharptheory

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