Coverart for item
The Resource Weighted Hardy spaces, Jan-Olov Strömberg, Alberto Torchinsky

Weighted Hardy spaces, Jan-Olov Strömberg, Alberto Torchinsky

Label
Weighted Hardy spaces
Title
Weighted Hardy spaces
Statement of responsibility
Jan-Olov Strömberg, Alberto Torchinsky
Creator
Contributor
Subject
Language
eng
Summary
These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p>1 are of special interest
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Strömberg, Jan-Olov
Dewey number
  • 510 s
  • 515/.73
Index
index present
LC call number
  • QA3
  • QA331
LC item number
.L28 no. 1381
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Torchinsky, Alberto
Series statement
Lecture notes in mathematics,
Series volume
1381
http://library.link/vocab/subjectName
  • Hardy spaces
  • Hardy, Espaces de
  • Hardy spaces
  • Gewichteter Hardy-Raum
Label
Weighted Hardy spaces, Jan-Olov Strömberg, Alberto Torchinsky
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 189-191) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Weights -- Decomposition of weights -- Sharp maximal functions -- Functions in the upper half-space -- Extensions of distributions -- The Hardy spaces -- A dense class -- The atomic decomposition -- The basic inequality -- Duality -- Singular integrals and multipliers -- Complex interpolation
Control code
298624160
Dimensions
unknown
Extent
1 online resource (iv, 193 pages).
Form of item
online
Isbn
9783540462071
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298624160
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Weighted Hardy spaces, Jan-Olov Strömberg, Alberto Torchinsky
Publication
Bibliography note
Includes bibliographical references (pages 189-191) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Weights -- Decomposition of weights -- Sharp maximal functions -- Functions in the upper half-space -- Extensions of distributions -- The Hardy spaces -- A dense class -- The atomic decomposition -- The basic inequality -- Duality -- Singular integrals and multipliers -- Complex interpolation
Control code
298624160
Dimensions
unknown
Extent
1 online resource (iv, 193 pages).
Form of item
online
Isbn
9783540462071
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298624160
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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