Weighted Hardy Spaces
Title | Weighted Hardy Spaces PDF eBook |
Author | Jan-Olov Strömberg |
Publisher | Springer |
Total Pages | 203 |
Release | 2006-11-14 |
Genre | Mathematics |
ISBN | 3540462074 |
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.
Weighted Hardy Spaces
Title | Weighted Hardy Spaces PDF eBook |
Author | Jan-Olov Strömberg |
Publisher | |
Total Pages | 208 |
Release | 1989 |
Genre | Fourier analysis |
ISBN |
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.
Weighted Hardy Spaces
Title | Weighted Hardy Spaces PDF eBook |
Author | Jan-Olov Stromberg |
Publisher | |
Total Pages | 208 |
Release | 2014-01-15 |
Genre | |
ISBN | 9783662184622 |
Composition Operations in Weighted Hardy Spaces
Title | Composition Operations in Weighted Hardy Spaces PDF eBook |
Author | Nina Zorboska |
Publisher | |
Total Pages | 106 |
Release | 1988 |
Genre | |
ISBN |
Representation Theorems in Hardy Spaces
Title | Representation Theorems in Hardy Spaces PDF eBook |
Author | Javad Mashreghi |
Publisher | Cambridge University Press |
Total Pages | 385 |
Release | 2009-03-19 |
Genre | Mathematics |
ISBN | 0521517680 |
This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane.
Hardy Spaces
Title | Hardy Spaces PDF eBook |
Author | Nikolaï Nikolski |
Publisher | Cambridge University Press |
Total Pages | 297 |
Release | 2019-01-31 |
Genre | Mathematics |
ISBN | 1107184541 |
Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.
Function Spaces
Title | Function Spaces PDF eBook |
Author | Krzysztof Jarov |
Publisher | CRC Press |
Total Pages | 450 |
Release | 2020-08-27 |
Genre | Mathematics |
ISBN | 1000147932 |
This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.