Handbook of analytic operator theory/ Kehe Zhu ed.

Includes bibliographical references and index.

Fock Space, the Heisenberg Group, Heat Flow, and Toeplitz Operators -- Two-Variable Weighted Shifts in Multivariable Operator Theory -- Commutants, Reducing Subspaces and von Neumann Algebras Associated with Multiplication Operators -- Operators in the Cowen-Douglas Class and Related Topics -- Toeplitz Operators and Toeplitz C∗-Algebras in Several Complex Variables -- Möbius Invariant Q p and Q K Spaces -- Analytical Aspects of the Drury-Arveson Space -- A Brief Survey of Operator Theory in H 2(𝔻2) -- Weighted Composition Operators on Some Analytic Function Spaces -- Toeplitz Operators on the Bergman Space and the Berezin Transform -- Towards a Dictionary for the Bargmann Transform

This book thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces covered include Bergman spaces, Hardy spaces, Fock spaces and the Drury-Averson space. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators.
The volume consists of eleven articles in the general area of analytic function spaces and operators on them. Each contributor focuses on one particular topic, for example, operator theory on the Drury-Aversson space, and presents the material in the form of a survey paper which contains all the major results in the area and includes all relevant references.