Download or read book Cyclic Phenomena for Composition Operators on Weighted Bergman Spaces written by Anna Gori and published by . This book was released on 2001 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cyclic Phenomena for Composition Operators written by Paul Bourdon and published by American Mathematical Soc.. This book was released on 1997 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: We undertake a systematic study of cyclic phenomena for composition operators. Our work shows that composition operators exhibit strikingly diverse types of cyclic behavior, and it connects this behavior with classical problems involving complex polynomial approximation and analytic functional equations.
Download or read book Composition Operators on Spaces of Analytic Functions written by Carl C. Cowen Jr. and published by Routledge. This book was released on 2019-03-04 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
Download or read book Closed range Composition Operators on Weighted Bergman Spaces and Applications written by Shanda Renee Fulmer and published by . This book was released on 2014 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: We will discuss necessary and sufficient conditions for a Composition Operator to be closed range on the weighted Bergman spaces. The function phi is an analytic self map of the unit disk and our results extend those previously intended for the classical Bergman space. We will also give applications.
Download or read book Compact Composition Operators on Weighted Hardy and Bergman Spaces written by Elhadi Dalam and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last ten years, the theory of Hardy and Bergman Spaces has undergone a remarkable metamorphosis. The research originated from a study of weighted Hardy and Bergman Spaces that revolve around the composition operators and inequalities is to present the latest development, mostly achieved in the thesis form. In particular, gradute students and new researchers in the field will have access to the theory from an almost self contained and readable source. We study the action of composition operators on Sobolev Spaces of analytic functions in some weighted Bergman and Hardy Spaces on the unit disc. composition operators mapping into the Hardy Space are included by making particular choices for the weights. In the thesis we will explain some of the important results of compact composition operators on weighted Hardy and Bergman Spaces.
Download or read book Composition operators on weighted Bergman spaces and Hardy spaces written by Thomas Domenig and published by . This book was released on 1997 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Advances in Operator Theory Operator Algebras and their Applications written by Dumitru Gaspar and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.
Download or read book Composition Operators Between Weighted Nevanlinna Classes and Weighted Bergman Spaces written by Hans Jarchow and published by . This book was released on 1998 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Weighted Composition Operators on Weighted Hardy and Bergman Spaces written by Waleed Khaled Al-Rawashdeh and published by . This book was released on 2010 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bergman Spaces written by Peter Duren and published by American Mathematical Society. This book was released on 2024-05-14 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Difference of Composition Operators on Bergman Space written by Soumyadip Acharyya and published by . This book was released on 2015 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let us consider the operator-theoretic difference of two composition operators acting on a weighted Hilbert Bergman space. In 2011, Choe, Hosokawa and Koo [CHK] proved a necessary and sufficient condition under which the difference operator is Hilbert-Schmidt. In this dissertation, we have provided a simpler proof of their result, using a change of variable method. Applying that method, we have also established similar necessary and sufficient integral condition under which a difference operator of a more general form is Hilbert-Schmidt. In 2011, Saukko [S] found a beautiful way of characterizing the boundedness and compactness of the difference of two composition operators, acting in between two weighted Bergman spaces. More precisely, he was able to reduce those problems for a difference operator into corresponding problems for a weighted composition operator, which were already solved in the year 2007. In this work, we have generalized Saukko's results for the same operator where the target function space is more general. Through these generalized results, we have been able to characterize the boundedness and compactness of the previously mentioned difference operator with a more general form.
Download or read book Commentationes mathematicae written by and published by . This book was released on 2005 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Chaos written by Karl-G. Grosse-Erdmann and published by Springer Science & Business Media. This book was released on 2011-08-24 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research, which has seen many landmark results over the past two decades. Linear dynamics lies at the crossroads of several areas of mathematics including operator theory, complex analysis, ergodic theory and partial differential equations. At the same time its basic ideas can be easily understood by a wide audience. Written by two renowned specialists, Linear Chaos provides a welcome introduction to this theory. Split into two parts, part I presents a self-contained introduction to the dynamics of linear operators, while part II covers selected, largely independent topics from linear dynamics. More than 350 exercises and many illustrations are included, and each chapter contains a further ‘Sources and Comments’ section. The only prerequisites are a familiarity with metric spaces, the basic theory of Hilbert and Banach spaces and fundamentals of complex analysis. More advanced tools, only needed occasionally, are provided in two appendices. A self-contained exposition, this book will be suitable for self-study and will appeal to advanced undergraduate or beginning graduate students. It will also be of use to researchers in other areas of mathematics such as partial differential equations, dynamical systems and ergodic theory.
Download or read book Compact and Hilbert Schmidt Weighted Composition Operators on the Bergman Space written by PalRamani Karthikeyan and published by . This book was released on 2008 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Trends in Banach Spaces and Operator Theory written by Anna Kamińska and published by American Mathematical Soc.. This book was released on 2003 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators. Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative $L p$-spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeter-invariant polyhedra, uniqueness of unconditional bases in quasi-Banach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids. The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acta Scientiarum Mathematicarum written by József Attila Tudományegyetem and published by . This book was released on 1997 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
