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Weighted Hardy Spaces

  • Authors
  • Strömberg Jan-Olov 
  • Alberto Torchinsky

Part of the Lecture Notes in Mathematics book series (LNM, volume 1381)

Table of contents

  1. Front Matter
    Pages I-V
  2. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 1-17
  3. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 18-29
  4. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 30-47
  5. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 48-59
  6. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 60-84
  7. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 85-102
  8. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 103-110
  9. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 111-121
  10. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 122-133
  11. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 134-149
  12. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 150-176
  13. Strömberg Jan-Olov, Alberto Torchinsky
    Pages 177-188
  14. Back Matter
    Pages 189-197

About this book

Introduction

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.

Keywords

Maxima Sharp Singular integral class duality equality form function inequality integral interpolation maximum techniques wavelet wavelet transform

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0091154
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51402-2
  • Online ISBN 978-3-540-46207-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site