Bounded analytic families of Cauchy-Stieltjes integrals

DOI10.1216/RMJM/1181072616zbMath0773.30041OpenAlexW2088802195MaRDI QIDQ1801928

R. A. Hibschweiler, Thomas H. MacGregor

Publication date: 17 August 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072616

zbMATH Keywords

multipliersCauchy-Stieltjes transform

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Boundary value problems in the complex plane (30E25) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (8)

Unnamed Item ⋮ Generalized Stević-Sharma type operators on spaces of fractional Cauchy transforms ⋮ Difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces ⋮ Difference of composition operators from the space of Cauchy integral transforms to the Dirichlet space ⋮ A class of integral operators from weighted integral transforms to Dirichlet spaces ⋮ Fractional Cauchy transforms ⋮ The norm of a composition operator from the space of Cauchy transforms into Zygmund-type spaces ⋮ Growth and zero sets of analytic families of Cauchy-Stieltjes integrals

Cites Work

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• On Cauchy integrals of logarithmic potentials and their multipliers
• Closure Properties of Families of Cauchy-Stieltjes Transforms
• Multipliers of Families of Cauchy-Stieltjes Transforms

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