Inner functions in the Möbius invariant Besov-type spaces

DOI10.1017/S0013091507000818zbMath1179.30057MaRDI QIDQ3643355

Jouni Rättyä, Fernando Pérez-González

Publication date: 11 November 2009

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceBlaschke productinner functionBesov-type space\(Q_p\)-space

Mathematics Subject Classification ID

Besov spaces and (Q_p)-spaces (30H25) Inner functions of one complex variable (30J05) Blaschke products (30J10) Singular inner functions of one complex variable (30J15)

Related Items (17)

On analytic Campanato and \(F(p,q,s)\) spaces ⋮ Inner functions in \(Q_K\) spaces and multipliers ⋮ Pseudoanalytic extension on F(p,p-2,s) spaces and applications ⋮ A Carleson type measure and a family of Möbius invariant function spaces ⋮ Necessary and sufficient conditions for inner functions to be in \(Q_K(p, p - 2)\)-spaces ⋮ Inner functions in weak Besov spaces ⋮ Remarks on one-component inner functions ⋮ Improving multipliers and zero sets in \(\mathcal {Q}_K\) spaces ⋮ Inner functions in Lipschitz, Besov, and Sobolev spaces ⋮ Solutions of second order complex differential equation having certain pre-given zeros ⋮ Boundary multipliers of a family of Möbius invariant function spaces ⋮ Spectra of some weighted composition operators on dual Banach spaces of analytic functions ⋮ Inner function in Dirichlet type spaces ⋮ Semigroups of composition operators and integral operators in BMOA-type spaces ⋮ Interpolating sequences for some subsets of analytic Besov type spaces ⋮ Intersections and unions of a general family of function spaces ⋮ Inner functions as improving multipliers and zero sets of Besov-type spaces

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