Overview
- Authors:
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Jan-Olov Strömberg
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Alberto Torchinsky
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About this book
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.
Table of contents (12 chapters)
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 1-17
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 18-29
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 30-47
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 48-59
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 60-84
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 85-102
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 103-110
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 111-121
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 122-133
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 134-149
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 150-176
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- Strömberg Jan-Olov, Alberto Torchinsky
Pages 177-188
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Back Matter
Pages 189-197