Bloch Besov Spaces And The Boundary Behavior Of Their Functions PDF Download
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Author | : Kyong Taik Hahn |
Publisher | : |
Total Pages | : 120 |
Release | : 1993 |
Genre | : Boundary value problems |
ISBN | : |
Download Bloch-Besov Spaces and the Boundary Behavior of Their Functions Book in PDF, ePub and Kindle
Author | : Kari Elizabeth Shaw |
Publisher | : |
Total Pages | : 86 |
Release | : 1990 |
Genre | : |
ISBN | : |
Download Boundary Behavior of Besov Functions Book in PDF, ePub and Kindle
Author | : Richard D. Carmichael |
Publisher | : |
Total Pages | : 138 |
Release | : 1999 |
Genre | : Boundary value problems |
ISBN | : |
Download Notes on Boundary Values in Ultradistribution Spaces Book in PDF, ePub and Kindle
Author | : Kehe Zhu |
Publisher | : Springer Science & Business Media |
Total Pages | : 281 |
Release | : 2006-03-22 |
Genre | : Mathematics |
ISBN | : 0387275398 |
Download Spaces of Holomorphic Functions in the Unit Ball Book in PDF, ePub and Kindle
Can be used as a graduate text Contains many exercises Contains new results
Author | : Francesco Nicolò |
Publisher | : |
Total Pages | : 80 |
Release | : 2000 |
Genre | : Generalized spaces |
ISBN | : |
Download Lecture Notes on the Global Stability of the Minkowski Space Book in PDF, ePub and Kindle
Author | : Kehe Zhu |
Publisher | : American Mathematical Soc. |
Total Pages | : 368 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821839659 |
Download Operator Theory in Function Spaces Book in PDF, ePub and Kindle
This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.
Author | : A. V. Fursikov |
Publisher | : |
Total Pages | : 182 |
Release | : 1996 |
Genre | : Evolution equations |
ISBN | : |
Download Controllability of Evolution Equations Book in PDF, ePub and Kindle
Author | : Xiaoping Xu |
Publisher | : |
Total Pages | : 70 |
Release | : 1996 |
Genre | : Vertex operator algebras |
ISBN | : |
Download On Vertex Operator Algebras Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 750 |
Release | : 2008 |
Genre | : Mathematical statistics |
ISBN | : |
Download Far East Journal of Mathematical Sciences Book in PDF, ePub and Kindle
Author | : Nicola Arcozzi |
Publisher | : American Mathematical Soc. |
Total Pages | : 536 |
Release | : 2019-09-03 |
Genre | : Dirichlet principle |
ISBN | : 1470450828 |
Download The Dirichlet Space and Related Function Spaces Book in PDF, ePub and Kindle
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.