Weighted Hardy Spaces
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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.
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.
Author | : Jan-Olov Stromberg |
Publisher | : |
Total Pages | : 208 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662184622 |
Author | : Nina Zorboska |
Publisher | : |
Total Pages | : 106 |
Release | : 1988 |
Genre | : |
ISBN | : |
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.
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.
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.
Author | : Jyunji Inoue |
Publisher | : |
Total Pages | : 9 |
Release | : 2004 |
Genre | : |
ISBN | : |
Author | : Paolo Boggiatto |
Publisher | : Springer Nature |
Total Pages | : 533 |
Release | : 2020-03-03 |
Genre | : Mathematics |
ISBN | : 3030361381 |
The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018. The event was organized in honor of Professor Luigi Rodino on the occasion of his 70th birthday. The conference’s focus and the contents of the papers reflect Luigi’s various research interests in the course of his long and extremely prolific career at Torino University.
Author | : Alois Kufner |
Publisher | : World Scientific |
Total Pages | : 380 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9789812381958 |
Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.