Mobius Invariant Qk Spaces

Author : Hasi Wulan,Kehe Zhu
Publisher : Springer
Page : 253 pages
File Size : 54,6 Mb
Release : 2017-07-03
Category : Mathematics
ISBN : 9783319582870

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Mobius Invariant QK Spaces by Hasi Wulan,Kehe Zhu Pdf

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.

Author : Kehe Zhu
Publisher : CRC Press
Page : 228 pages
File Size : 48,9 Mb
Release : 2019-05-10
Category : Mathematics
ISBN : 9781351045537

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Handbook of Analytic Operator Theory by Kehe Zhu Pdf

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

Author : Javad Mashreghi,Thomas Ransford,Kristian Seip
Publisher : American Mathematical Soc.
Page : 230 pages
File Size : 40,5 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780821870457

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Hilbert Spaces of Analytic Functions by Javad Mashreghi,Thomas Ransford,Kristian Seip Pdf

Author : J. J. Grobler,L.E. Labuschagne,Manfred Möller
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 40,8 Mb
Release : 2009-12-24
Category : Mathematics
ISBN : 9783034601740

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Operator Algebras, Operator Theory and Applications by J. J. Grobler,L.E. Labuschagne,Manfred Möller Pdf

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.

Author : Hakki Turgay Kaptanoğlu
Publisher : Unknown
Page : 146 pages
File Size : 47,6 Mb
Release : 1991
Category : Electronic
ISBN : WISC:89032838526

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Möbius-invariant Spaces and Algebras in Polydiscs by Hakki Turgay Kaptanoğlu Pdf

Author : Catherine Bénéteau:,Alberto A. Condori,Constanze Liaw,William T. Ross,Alan A. Sola
Publisher : American Mathematical Soc.
Page : 217 pages
File Size : 40,7 Mb
Release : 2016-12-22
Category : Analytic functions
ISBN : 9781470423056

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Catherine Beneteau, Alberto A. Condori, Constanze Liaw, William T. Ross, and Alan A. Sola by Catherine Bénéteau:,Alberto A. Condori,Constanze Liaw,William T. Ross,Alan A. Sola Pdf

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.

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 158 pages
File Size : 47,8 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 0821897470

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Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications by Mark Lʹvovich Agranovskiĭ Pdf

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.

Author : Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 49,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302216

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Finite or Infinite Dimensional Complex Analysis and Applications by Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang Pdf

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.

Author : Heinrich G.W. Begehr,R.P. Gilbert,Man-Wah Wong
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 55,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475737417

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Analysis and Applications - ISAAC 2001 by Heinrich G.W. Begehr,R.P. Gilbert,Man-Wah Wong Pdf

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.

Author : Marco M. Peloso
Publisher : Unknown
Page : 38 pages
File Size : 46,9 Mb
Release : 1990
Category : Besov spaces
ISBN : OCLC:186695965

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Möbius Invariant Spaces on the Unit Ball by Marco M. Peloso Pdf

Author : Miroslav Pavlović
Publisher : Walter de Gruyter GmbH & Co KG
Page : 522 pages
File Size : 52,5 Mb
Release : 2019-08-19
Category : Mathematics
ISBN : 9783110628654

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Function Classes on the Unit Disc by Miroslav Pavlović Pdf

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.

Author : Le Hai Khoi,Javad Mashreghi
Publisher : Springer Nature
Page : 261 pages
File Size : 51,7 Mb
Release : 2023-10-09
Category : Mathematics
ISBN : 9783031397042

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Theory of Np Spaces by Le Hai Khoi,Javad Mashreghi Pdf

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.

Author : Jie Xiao
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 45,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783764377632

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Geometric Qp Functions by Jie Xiao Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 720 pages
File Size : 45,5 Mb
Release : 2009
Category : Mathematics
ISBN : UCSD:31822036948073

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The Rocky Mountain Journal of Mathematics by Anonim Pdf

Author : Hakan Hedenmalm,Boris Korenblum,Kehe Zhu
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 46,6 Mb
Release : 2000-05-19
Category : Mathematics
ISBN : 9780387987910

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Theory of Bergman Spaces by Hakan Hedenmalm,Boris Korenblum,Kehe Zhu Pdf

Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field.