Mixed Norm Generalizations of Weighted Bergman Spaces in the Unit Ball of CN

Mixed Norm Generalizations of Weighted Bergman Spaces in the Unit Ball of CN PDF Author: Steven Charles Gadbois
Publisher:
ISBN:
Category : Function spaces
Languages : en
Pages : 106

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Mixed Norm Generalizations of Weighted Bergman Spaces in the Unit Ball of CN

Mixed Norm Generalizations of Weighted Bergman Spaces in the Unit Ball of CN PDF Author: Steven Charles Gadbois
Publisher:
ISBN:
Category : Function spaces
Languages : en
Pages : 106

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Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 724

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Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics PDF Author: Wolfram Bauer
Publisher: Springer Nature
ISBN: 3030446514
Category : Mathematics
Languages : en
Pages : 459

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Book Description
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Abstracts of Papers Presented to the American Mathematical Society

Abstracts of Papers Presented to the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1092

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Composition Operators on Spaces of Analytic Functions

Composition Operators on Spaces of Analytic Functions PDF Author: Carl C. Cowen Jr.
Publisher: Routledge
ISBN: 1351459139
Category : Mathematics
Languages : en
Pages : 404

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Book Description
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.

Function Theory in the Unit Ball of Cn

Function Theory in the Unit Ball of Cn PDF Author: W. Rudin
Publisher: Springer Science & Business Media
ISBN: 1461380987
Category : Mathematics
Languages : en
Pages : 449

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Book Description
Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.

Weighted Bergman Spaces Induced by Rapidly Increasing Weights

Weighted Bergman Spaces Induced by Rapidly Increasing Weights PDF Author: Jose Angel Pelaez
Publisher: American Mathematical Soc.
ISBN: 0821888021
Category : Mathematics
Languages : en
Pages : 136

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Book Description
This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb{D}$ that is induced by a radial continuous weight $\omega$ satisfying $\lim_{r\to 1^-}\frac{\int_r^1\omega(s)\,ds}{\omega(r)(1-r)}=\infty.$ Every such $A^p_\omega$ lies between the Hardy space $H^p$ and every classical weighted Bergman space $A^p_\alpha$. Even if it is well known that $H^p$ is the limit of $A^p_\alpha$, as $\alpha\to-1$, in many respects, it is shown that $A^p_\omega$ lies ``closer'' to $H^p$ than any $A^p_\alpha$, and that several finer function-theoretic properties of $A^p_\alpha$ do not carry over to $A^p_\omega$.

Transactions of the American Mathematical Society

Transactions of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1076

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An Introduction to Extremal Kahler Metrics

An Introduction to Extremal Kahler Metrics PDF Author: Gábor Székelyhidi
Publisher: American Mathematical Soc.
ISBN: 1470410478
Category : Mathematics
Languages : en
Pages : 210

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Book Description
A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.

Experimental and Quasi-experimental Designs for Generalized Causal Inference

Experimental and Quasi-experimental Designs for Generalized Causal Inference PDF Author: William R. Shadish
Publisher: Cengage Learning
ISBN:
Category : Education
Languages : en
Pages : 664

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Book Description
Sections include: experiments and generalised causal inference; statistical conclusion validity and internal validity; construct validity and external validity; quasi-experimental designs that either lack a control group or lack pretest observations on the outcome; quasi-experimental designs that use both control groups and pretests; quasi-experiments: interrupted time-series designs; regresssion discontinuity designs; randomised experiments: rationale, designs, and conditions conducive to doing them; practical problems 1: ethics, participation recruitment and random assignment; practical problems 2: treatment implementation and attrition; generalised causal inference: a grounded theory; generalised causal inference: methods for single studies; generalised causal inference: methods for multiple studies; a critical assessment of our assumptions.