Holomorphic Sobolev Spaces on the Ball PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Holomorphic Sobolev Spaces on the Ball PDF full book. Access full book title Holomorphic Sobolev Spaces on the Ball by Frank Beatrous. Download full books in PDF and EPUB format.
Author: Frank Beatrous
Publisher:
ISBN:
Category : Holomorphic functions
Languages : en
Pages : 68
Get Book
Book Description
Author: Frank Beatrous
Publisher:
ISBN:
Category : Holomorphic functions
Languages : en
Pages : 68
Get Book
Book Description
Author: Kehe Zhu
Publisher: Springer Science & Business Media
ISBN: 0387275398
Category : Mathematics
Languages : en
Pages : 281
Get Book
Book Description
Can be used as a graduate text Contains many exercises Contains new results
Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
ISBN: 0821841505
Category : Mathematics
Languages : en
Pages : 482
Get Book
Book Description
The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
Author: Miroljub Jevtić
Publisher: Springer
ISBN: 331945644X
Category : Mathematics
Languages : en
Pages : 323
Get Book
Book Description
This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of results obtained over the past 80 years, including the most recent ones, are treated in detail. Several chapters end with discussions of practical applications and related topics that graduate students and experts in other subjects may find useful for their own purposes. Thus, a further aim of the book is to communicate to non-specialists some concrete facts that may be of value in their own work. The book can also be used as a textbook or a supplementary reference for an advanced graduate course. It is primarily intended for specialists in complex and functional analysis, graduate students, and experts in other related fields.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
Get Book
Book Description
Author: Nicola Arcozzi
Publisher: American Mathematical Soc.
ISBN: 1470450828
Category : Dirichlet principle
Languages : en
Pages : 536
Get Book
Book Description
The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 128
Get Book
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 224
Get Book
Book Description
Author: Eric T. Sawyer
Publisher: American Mathematical Soc.
ISBN: 0821871846
Category : Mathematics
Languages : en
Pages : 219
Get Book
Book Description
Author: Javad Mashreghi
Publisher: Springer Nature
ISBN: 3031335724
Category : Mathematics
Languages : en
Pages : 426
Get Book
Book Description
The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.
