Isometric Composition Operators Between Two Weighted Hardy Spaces
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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.
Isometric Composition Operators Between Two Weighted Hardy Spaces
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Author : Takahiko Nakazi
language : en
Publisher:
Release Date : 2006
Isometric Composition Operators Between Two Weighted Hardy Spaces written by Takahiko Nakazi 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.
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.
Composition Operators On Spaces Of Analytic Functions
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Author : Carl C. Cowen Jr.
language : en
Publisher: Routledge
Release Date : 2019-03-04
Composition Operators On Spaces Of Analytic Functions written by Carl C. Cowen Jr. and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-04 with Mathematics categories.
The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
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.
Studies On Composition Operators
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Author : Rocky Mountain Mathematics Consortium
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Studies On Composition Operators written by Rocky Mountain Mathematics Consortium 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 1998 with Mathematics categories.
This book reflects the proceedings of the 1996 Rocky Mountain Mathematics Consortium conference on "Composition Operators on Spaces of Analytic Functions" held at the University of Wyoming. The readers will find here a collection of high-quality research and expository articles on composition operators in one and several variables. The book highlights open questions and new advances in the classical areas and promotes topics which are left largely untreated in the existing texts. In the past two decades, the study of composition operators has experienced tremendous growth. Many connections between the study of these operators on various function spaces and other branches of analysis have been established. Advances in establishing criteria for membership in different operator classes have led to progress in the study of the spectra, adjoints, and iterates of these operators. More recently, connections between these operators and the study of the invariant subspace problem, functional equations, and dynamical systems have been exploited.
Dynamics Of Linear Operators
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Author : Frédéric Bayart
language : en
Publisher: Cambridge University Press
Release Date : 2009-06-04
Dynamics Of Linear Operators written by Frédéric Bayart and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-04 with Mathematics categories.
The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.
Aspects Of Contemporary Complex Analysis
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Author : London Mathematical Society
language : en
Publisher:
Release Date : 1980
Aspects Of Contemporary Complex Analysis written by London Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Isometries And Composition Operators On Hardy Spaces In Connection With The Measure Theoretic Properties Of Inner Functions
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Author : Arthur Richards
language : en
Publisher:
Release Date : 1974
Isometries And Composition Operators On Hardy Spaces In Connection With The Measure Theoretic Properties Of Inner Functions written by Arthur Richards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.