Weighted Composition Operators On Weighted Hardy And Bergman Spaces
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Weighted Composition Operators On Weighted Hardy And Bergman Spaces
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Author : Waleed Khaled Al-Rawashdeh
language : en
Publisher:
Release Date : 2010
Weighted Composition Operators On Weighted Hardy And Bergman Spaces written by Waleed Khaled Al-Rawashdeh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Bergman spaces categories.
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 Weighted Bergman Spaces And Hardy Spaces
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Author : Thomas Domenig
language : en
Publisher:
Release Date : 1997
Composition Operators On Weighted Bergman Spaces And Hardy Spaces written by Thomas Domenig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Norm Inequalities For Composition Operators On Hardy And Weighted Bergman Spaces
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Author : Christopher Hammond
language : en
Publisher:
Release Date : 2010
Norm Inequalities For Composition Operators On Hardy And Weighted Bergman Spaces written by Christopher Hammond and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Composition operators categories.
Abstract: Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H 2 and on the standard weighted Bergman spaces A 2 [beta symbol]. For a particular self-map, it is reasonable to wonder whether there is any meaningful relationship between the norms of the corresponding operators acting on each of these spaces. In this paper, we demonstrate an inequality which, at least to a certain degree, provides an answer to this question.
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.
Composition Operators On Weighted Bergman Spaces And Hardy Spaces
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Author : Thomas Domenig
language : de
Publisher:
Release Date : 1997
Composition Operators On Weighted Bergman Spaces And Hardy Spaces written by Thomas Domenig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Subnormality And Composition Operators On The Weighted Bergman Spaces
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Author : Alexander Eugene Richman
language : en
Publisher:
Release Date : 2000
Subnormality And Composition Operators On The Weighted Bergman Spaces written by Alexander Eugene Richman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
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.
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.
Theory Of Np Spaces
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Author : Le Hai Khoi
language : en
Publisher: Springer Nature
Release Date : 2023-10-09
Theory Of Np Spaces written by Le Hai Khoi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-09 with Mathematics categories.
This monograph provides a comprehensive study of a typical and novel function space, known as the $\mathcal{N}_p$ spaces. These spaces are Banach and Hilbert spaces of analytic functions on the open unit disk and open unit ball, and the authors also explore composition operators and weighted composition operators on these spaces. The book covers a significant portion of the recent research on these spaces, making it an invaluable resource for those delving into this rapidly developing area. The authors introduce various weighted spaces, including the classical Hardy space $H^2$, Bergman space $B^2$, and Dirichlet space $\mathcal{D}$. By offering generalized definitions for these spaces, readers are equipped to explore further classes of Banach spaces such as Bloch spaces $\mathcal{B}^p$ and Bergman-type spaces $A^p$. Additionally, the authors extend their analysis beyond the open unit disk $\mathbb{D}$ and open unit ball $\mathbb{B}$ by presenting families of entire functions in the complex plane $\mathbb{C}$ and in higher dimensions. The Theory of $\mathcal{N}_p$ Spaces is an ideal resource for researchers and PhD students studying spaces of analytic functions and operators within these spaces.