Inner functions as improving multipliers

DOI10.1016/j.jfa.2008.06.010zbMath1160.30027OpenAlexW1973078412MaRDI QIDQ952477

José Ángel Peláez

Publication date: 12 November 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.06.010

zbMATH Keywords

Bloch spaceBMOALipschitz spacesinner functions\(Q_p\)-spaces

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (13)

Some results in Möbius invariant spaces ⋮ \(\mathcal{Q}_K\) spaces: a brief and selective survey ⋮ Pseudoanalytic extension on F(p,p-2,s) spaces and applications ⋮ Inner functions as multipliers and zero sets in weighted Dirichlet spaces ⋮ Stability of admissible functions ⋮ On the zeros of functions in Dirichlet-type spaces ⋮ Improving multipliers and zero sets in \(\mathcal {Q}_K\) spaces ⋮ Möbius invariant Dirichlet type spaces ⋮ Multipliers of Möbius invariant \(Q_{s}\) spaces ⋮ Inner function in Dirichlet type spaces ⋮ Characterizations for inner functions in certain function spaces ⋮ Inner functions in \(W_{\alpha}\) as improving multipliers ⋮ Inner functions as improving multipliers and zero sets of Besov-type spaces

Cites Work

• On the \(H^ p\) classes of derivatives of functions orthogonal to invariant subspaces
• Derivatives of Blaschke products
• Self-improving behaviour of inner functions as multipliers
• On inner functions with derivative in Bergman spaces
• Blaschke products satisfying the Carleson-Newman conditions and ideals of the algebra \(H^{\infty}\)
• Some subclasses of BMOA and their characterization in terms of Carleson measures
• Holomorphic functions and quasiconformal mappings with smooth moduli
• On the zeros of functions with finite Dirichlet integral and some related function spaces
• Division and Multiplication by Inner Functions and Embedding Theorems for Star-Invariant Subspaces
• INTEGRABILITY OF THE DERIVATIVE OF A BLASCHKE PRODUCT
• Holomorphic \(Q\) classes
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