Handbook of Analytic Operator Theory

Description

This handbook concerns the subject of holomorphic function spaces and operators acting on them. Topics include Bergman spaces, Hardy spaces, Besov/Sobolev spaces, Fock spaces, and the space of Dirichlet series. Operators discussed in the book include Toeplitz operators, Hankel operators, composition operators, and Cowen-Douglas class operators Content: The Drury Arveson space and related operator theory. The Dirichlet space and related operator theory. Fock spaces and related operator theory. The Hardy space of the bi-disk and related operator theory. Toeplitz operators on the Bergman space. Hankel operators on the Bergman space. Bounded symmetric domains and Toeplitz operators. Composition operators. Operators in Cowen-Douglas classes. Invariant subspaces of the Bergman space. Mobius invariant Qp and Qk spaces. Spaces of Dirichlet series and related operator theory. The corona problem and related function/operator theory