Mobius Invariant QK Spaces

Mobius Invariant QK Spaces PDF Author: Hasi Wulan
Publisher: Springer
ISBN: 3319582879
Category : Mathematics
Languages : en
Pages : 257

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Book Description
This monograph summarizes the recent major achievements in Möbius invariant QK spaces. First introduced by Hasi Wulan and his collaborators, the theory of QK spaces has developed immensely in the last two decades, and the topics covered in this book will be helpful to graduate students and new researchers interested in the field. Featuring a wide range of subjects, including an overview of QK spaces, QK-Teichmüller spaces, K-Carleson measures and analysis of weight functions, this book serves as an important resource for analysts interested in this area of complex analysis. Notes, numerous exercises, and a comprehensive up-to-date bibliography provide an accessible entry to anyone with a standard graduate background in real and complex analysis.

Mobius Invariant QK Spaces

Mobius Invariant QK Spaces PDF Author: Hasi Wulan
Publisher: Springer
ISBN: 3319582879
Category : Mathematics
Languages : en
Pages : 257

Get Book Here

Book Description
This monograph summarizes the recent major achievements in Möbius invariant QK spaces. First introduced by Hasi Wulan and his collaborators, the theory of QK spaces has developed immensely in the last two decades, and the topics covered in this book will be helpful to graduate students and new researchers interested in the field. Featuring a wide range of subjects, including an overview of QK spaces, QK-Teichmüller spaces, K-Carleson measures and analysis of weight functions, this book serves as an important resource for analysts interested in this area of complex analysis. Notes, numerous exercises, and a comprehensive up-to-date bibliography provide an accessible entry to anyone with a standard graduate background in real and complex analysis.

Hilbert Spaces of Analytic Functions

Hilbert Spaces of Analytic Functions PDF Author: Javad Mashreghi
Publisher: American Mathematical Soc.
ISBN: 0821870459
Category : Mathematics
Languages : en
Pages : 230

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Book Description


Handbook of Analytic Operator Theory

Handbook of Analytic Operator Theory PDF Author: Kehe Zhu
Publisher: CRC Press
ISBN: 1351045539
Category : Mathematics
Languages : en
Pages : 275

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Book Description
This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators

Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications PDF Author: J. J. Grobler
Publisher: Springer Science & Business Media
ISBN: 3034601743
Category : Mathematics
Languages : en
Pages : 301

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Book Description
This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.

Function Classes on the Unit Disc

Function Classes on the Unit Disc PDF Author: Miroslav Pavlović
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110630850
Category : Mathematics
Languages : en
Pages : 572

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Book Description
This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.

Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola

Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola PDF Author: Catherine Bénéteau:
Publisher: American Mathematical Soc.
ISBN: 1470423057
Category : Mathematics
Languages : en
Pages : 230

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Book Description
This volume contains the Proceedings of the Conference on Completeness Problems, Carleson Measures, and Spaces of Analytic Functions, held from June 29–July 3, 2015, at the Institut Mittag-Leffler, Djursholm, Sweden. The conference brought together experienced researchers and promising young mathematicians from many countries to discuss recent progress made in function theory, model spaces, completeness problems, and Carleson measures. This volume contains articles covering cutting-edge research questions, as well as longer survey papers and a report on the problem session that contains a collection of attractive open problems in complex and harmonic analysis.

Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications

Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications PDF Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821897478
Category : Mathematics
Languages : en
Pages : 158

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Book Description
This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. The author obtains classifications of translation-invariant spaces and algebras of functions on semisimple and nilpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains.

Geometric Qp Functions

Geometric Qp Functions PDF Author: Jie Xiao
Publisher: Springer Science & Business Media
ISBN: 3764377631
Category : Mathematics
Languages : en
Pages : 245

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Book Description
This book documents the rich structure of the holomorphic Q function spaces which are geometric in the sense that they transform naturally under conformal mappings, with particular emphasis on recent development based on interaction between geometric function and measure theory and other branches of mathematical analysis, including potential theory, harmonic analysis, functional analysis, and operator theory. Largely self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces. Self-contained, the book functions as an instructional and reference work for advanced courses and research in conformal analysis, geometry, and function spaces.

Finite or Infinite Dimensional Complex Analysis and Applications

Finite or Infinite Dimensional Complex Analysis and Applications PDF Author: Le Hung Son
Publisher: Springer Science & Business Media
ISBN: 1461302218
Category : Mathematics
Languages : en
Pages : 379

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Book Description
There is almost no field in Mathematics which does not use Mathe matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.

Analysis and Applications - ISAAC 2001

Analysis and Applications - ISAAC 2001 PDF Author: Heinrich G.W. Begehr
Publisher: Springer Science & Business Media
ISBN: 1475737416
Category : Mathematics
Languages : en
Pages : 316

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Book Description
This collection of survey articles gives and idea of new methods and results in real and complex analysis and its applications. Besides several chapters on hyperbolic equations and systems and complex analysis, potential theory, dynamical systems and harmonic analysis are also included. Newly developed subjects from power geometry, homogenization, partial differential equations in graph structures are presented and a decomposition of the Hilbert space and Hamiltonian are given. Audience: Advanced students and scientists interested in new methods and results in analysis and applications.