Bergman Spaces

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Bergman Spaces

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Author : Peter Duren
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-14

Bergman Spaces written by Peter Duren and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-14 with Mathematics categories.

The modern subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Hardy spaces but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. This book develops background material and provides a self-contained introduction to a broad range of old and new topics in Bergman spaces, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces. It is accessible to anyone who has studied basic real and complex analysis at the graduate level.

Bergman Spaces

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Author : Peter L. Duren
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Bergman Spaces written by Peter L. Duren 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 2004 with Mathematics categories.

The modern subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Hardy spaces but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. This book develops background material and provides a self-contained introduction to a broad range of old and new topics in Bergman spaces, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces. It is accessible to anyone who has studied basic real and complex analysis at the graduate level.

Theory Of Bergman Spaces

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Author : Hakan Hedenmalm
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Theory Of Bergman Spaces written by Hakan Hedenmalm and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Preliminary Text. Do not use. 15 years ago the function theory and operator theory connected with the Hardy spaces was well understood (zeros; factorization; interpolation; invariant subspaces; Toeplitz and Hankel operators, etc.). None of the techniques that led to all the information about Hardy spaces worked on their close relatives the Bergman spaces. Most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely. Now the situation has completely changed. Today there are rich theories describing the Bergman spaces and their operators. Research interest and research activity in the area has been high for several years. A book is badly needed on Bergman spaces and the three authors are the right people to write it.

Spaces Of Holomorphic Functions In The Unit Ball

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Author : Kehe Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-22

Spaces Of Holomorphic Functions In The Unit Ball written by Kehe Zhu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-22 with Mathematics categories.

Can be used as a graduate text Contains many exercises Contains new results

Holomorphic Spaces

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Author : Sheldon Jay Axler
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28

Holomorphic Spaces written by Sheldon Jay Axler 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 1998-05-28 with Mathematics categories.

Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.

Linear And Complex Analysis

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Author : Alexei Alexandrov
language : en
Publisher: American Mathematical Soc.
Release Date :

Linear And Complex Analysis written by Alexei Alexandrov 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 with Mathematics categories.

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.

Operator And Matrix Theory Function Spaces And Applications

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Author : Marek Ptak
language : en
Publisher: Springer Nature
Release Date : 2024-04-02

Operator And Matrix Theory Function Spaces And Applications written by Marek Ptak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-02 with Mathematics categories.

This volume features presentations from the International Workshop on Operator Theory and its Applications that was held in Kraków, Poland, September 6-10, 2022. The volume reflects the wide interests of the participants and contains original research papers in the active areas of Operator Theory. These interests include weighted Hardy spaces, geometry of Banach spaces, dilations of the tetrablock contractions, Toeplitz and Hankel operators, symplectic Dirac operator, pseudodifferential and differential operators, singular integral operators, non-commutative probability, quasi multipliers, Hilbert transform, small rank perturbations, spectral constants, Banach-Lie groupoids, reproducing kernels, and the Kippenhahn curve. The volume includes contributions by a number of the world's leading experts and can therefore be used as an introduction to the currently active research areas in operator theory.

Function Spaces

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Author : Krzysztof Jarosz
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Function Spaces written by Krzysztof Jarosz 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 1999 with Mathematics categories.

This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, $Lp$ spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm.

Symmetries In Complex Analysis

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Author : Bruce Gilligan
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Symmetries In Complex Analysis written by Bruce Gilligan 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 2008 with Mathematics categories.

"The theme of this volume concerns interactions between group actions and problems in complex analysis." "The first four articles deal with such topics as representation kernels in representation theory, complex automorphisms and holomorphic equivalence of domains, and geometric description of exceptional symmetric domains. The last article is devoted to Seiberg-Witten equations and Taubes correspondence on symplectic 4-manifolds."--BOOK JACKET.