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Operators On Weighted Hardy Spaces

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Weighted Hardy Spaces

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Author : Jan-Olov Strömberg
language : en
Publisher: Springer
Release Date : 2006-11-14

Weighted Hardy Spaces written by Jan-Olov Strömberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

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.

Composition Operators On Weighted Hardy Spaces

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Author : Nina Zorboska
language : en
Publisher:
Release Date : 1987

Composition Operators On Weighted Hardy Spaces written by Nina Zorboska and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

Operators On Weighted Hardy Spaces

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Author : Sunil Sharma
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012

Operators On Weighted Hardy Spaces written by Sunil Sharma and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

The main purpose of this book is to introduce the generalized composition operators and the generalized multiplication operators on weighted Hardy spaces . Composition operators have been the subject matter of intensive study over past several decades and they find applications in ergodic theory, quantum mechanics and other branches of mathematical and physical sciences . The 1st chapter of the book contains introductory material . The compact, Fredholm generalized composition operators are characterized in the second chapter. The Hermitian, Normal, Quasi normal, Isometric and co isometric generalized composition operators are presented in the third chapter. It is shown that most of the properties of the generalized multiplication operators differ from the multiplication operators acting on other function spaces .eg: - On most of the function spaces multiplication operators are normal .But this result is not valid incase of generalized multiplication operators on weighted Hardy spaces . In this book some light is thrown on differential and anti-differential operators acting on weighted Hardy spaces .

Compact Composition Operators On Weighted Hardy And Bergman Spaces

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Author : Elhadi Dalam
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012

Compact Composition Operators On Weighted Hardy And Bergman Spaces written by Elhadi Dalam and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Bergman spaces categories.

Over the last ten years, the theory of Hardy and Bergman Spaces has undergone a remarkable metamorphosis. The research originated from a study of weighted Hardy and Bergman Spaces that revolve around the composition operators and inequalities is to present the latest development, mostly achieved in the thesis form. In particular, gradute students and new researchers in the field will have access to the theory from an almost self contained and readable source. We study the action of composition operators on Sobolev Spaces of analytic functions in some weighted Bergman and Hardy Spaces on the unit disc. composition operators mapping into the Hardy Space are included by making particular choices for the weights. In the thesis we will explain some of the important results of compact composition operators on weighted Hardy and Bergman Spaces.

Weighted Hardy Spaces

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Author : Jan-Olov Strömberg
language : en
Publisher:
Release Date : 1989

Weighted Hardy Spaces written by Jan-Olov Strömberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Fourier analysis categories.

Composition Operations In Weighted Hardy Spaces

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Author : Nina Zorboska
language : en
Publisher:
Release Date : 1988

Composition Operations In Weighted Hardy Spaces written by Nina Zorboska and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Weighted Hardy Spaces

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Author : Jan-Olov Stromberg
language : en
Publisher:
Release Date : 2014-01-15

Weighted Hardy Spaces written by Jan-Olov Stromberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Isometric Composition Operators Between Two Weighted Hardy Spaces

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Author :
language : en
Publisher:
Release Date : 2006

Isometric Composition Operators Between Two Weighted Hardy Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.

Operator Valued Hardy Spaces

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Author : Tao Mei
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Operator Valued Hardy Spaces written by Tao Mei and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

The author gives a systematic study of the Hardy spaces of functions with values in the noncommutative $Lp$-spaces associated with a semifinite von Neumann algebra $\mathcal{M .$ This is motivated by matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of noncommutative martingale inequalities. in this paper noncommutative Hardy spaces are defined by noncommutative Lusin integral function, and it isproved that they are equivalent to those defined by noncommutative Littlewood-Paley G-functions. The main results of this paper include: (i) The analogue in the author's setting of the classical Fefferman duality theorem between $\mathcal{H 1$ and $\mathrm{BMO $. (ii) The atomic decomposition of theauthor's noncommutative $\mathcal{H 1.$ (iii) The equivalence between the norms of the noncommutative Hardy spaces and of the noncommutative $Lp$-spaces $(1

Weighted Inequalities Of Hardy Type

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Author : Alois Kufner
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-06-16

Weighted Inequalities Of Hardy Type written by Alois Kufner and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-16 with categories.

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 areas 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. In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions. Request Inspection Copy

Operators On Weighted Hardy Spaces

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