Function theory. Interpolation and corona problems

zbMath1160.30001MaRDI QIDQ958876

Eric T. Sawyer

Publication date: 10 December 2008

Published in: Fields Institute Monographs (Search for Journal in Brave)

zbMATH Keywords

multiplier spacesCarleson measuresDirichlet spaceinterpolation problemsDrury-Arveson Hardy spaceBesov-Sobolev spacescorona-theoremsNevanlinna-Pick kernelsspaces of analytic functions in one and several complex variables

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spaces of bounded analytic functions of one complex variable (30H05) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (6)

A perturbation theory for core operators of Hilbert-Schmidt submodules ⋮ Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels ⋮ Local properties of Hilbert spaces of Dirichlet series ⋮ A short proof of Cartan's Nullstellensatz for entire functions in \({\mathbb{C}^n}\) ⋮ BMO estimates for the \(H^{\infty} (\mathbb B_n)\) corona problem ⋮ Corona theorem for the Dirichlet-type space

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