Nontangential limits in \(P^t(\mu )\)-spaces and the index of invariant subgroups

DOI10.4007/ANNALS.2009.169.449zbMath1179.46020OpenAlexW1994940964MaRDI QIDQ2389142

C.-E. Sundberg, Alexandru Aleman, Stephan Richter

Publication date: 14 July 2009

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://annals.math.princeton.edu/annals/2009/169-2/p02.xhtml

zbMATH Keywords

invariant subspacesBanach spaces of analytic functionsanalytic capacityboundary behavior of analytic functions

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Banach spaces of continuous, differentiable or analytic functions (46E15) Spaces and algebras of analytic functions of one complex variable (30H99) Function theory on the disc (30J99)

Related Items (21)

Asymptotically cyclic quasianalytic contractions ⋮ Boundary behavior in Hilbert spaces of vector-valued analytic functions ⋮ On nontangential limits and shift invariant subspaces ⋮ Bounded point evaluations for certain polynomial and rational modules ⋮ Bounded point evaluations for rationally multicyclic subnormal operators ⋮ Thomson decompositions of measures in the disk ⋮ Boundary values in spaces spanned by rational functions and the index of invariant subspaces ⋮ Constructions of some families of smooth Cauchy transforms ⋮ Density of the polynomials in Hardy and Bergman spaces of slit domains ⋮ Notes on the codimension one conjecture in the operator corona theorem ⋮ A generalization of the cellular indecomposable property via fiber dimension ⋮ A note on harmonic measure ⋮ Spectral analysis of 2D outlier layout ⋮ Spectral picture for rationally multicyclic subnormal operators ⋮ $L^{p}$-bounded point evaluations for polynomials and uniform rational approximation ⋮ On the index of invariant subspaces in Hilbert spaces of vector-valued analytic functions ⋮ A note on 𝐿^{𝑝}-bounded point evaluations for polynomials ⋮ Analytic contractions, nontangential limits, and the index of invariant subspaces ⋮ Linear graph transformations on spaces of analytic functions ⋮ Example of a quasianalytic contraction whose spectrum is a proper subarc of the unit circle ⋮ Free outer functions in complete Pick spaces

This page was built for publication: Nontangential limits in \(P^t(\mu )\)-spaces and the index of invariant subgroups