Some integral operators acting on \(H^{\infty}\)

DOI10.1007/s00020-014-2161-xzbMath1302.47049OpenAlexW2022485233MaRDI QIDQ484790

Mirjana Jovovic, Wayne Smith, Austin Anderson

Publication date: 7 January 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-014-2161-x

zbMATH Keywords

radial variation\(H^ \infty\)

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (11)

Integral operators mapping into the space of bounded analytic functions ⋮ Strict singularity of Volterra type operators on Hardy spaces ⋮ Generalized Volterra operators mapping between Banach spaces of analytic functions ⋮ Volterra-type operators mapping weighted Dirichlet space into \(H^\infty \) ⋮ Volterra type operators between Bloch type spaces and weighted Banach spaces ⋮ Some properties of the integration operators on the spaces \(F(p, q, s)\) ⋮ Some operator ideal properties of Volterra operators on Bergman and Bloch spaces ⋮ Composition semigroups on BMOA and \(H^\infty\) ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Integral operators induced by symbols with non-negative Maclaurin coefficients mapping into \(H^\infty \) ⋮ Uniform approximation of Bloch functions and the boundedness of the integration operator on \(H^\infty\)

Cites Work

• On the boundary continuity of conformal maps
• Mergelyan sets and the modulus of continuity of analytic functions
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• An Integral Operator on H^p
• INTEGRABILITY OF THE DERIVATIVE OF A BLASCHKE PRODUCT
• The Radial Images of Blaschke Products
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