Multipliers of Families of Cauchy-Stieltjes Transforms

DOI10.2307/2154014zbMath0769.30029OpenAlexW4249182535MaRDI QIDQ3993860

R. A. Hibschweiler, Thomas H. MacGregor

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2154014

zbMATH Keywords

multipliercomplex measuresCauchy-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) Asymptotic representations in the complex plane (30E15) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (22)

On the sharp growth of analytic Cauchy-Stieltjes transforms ⋮ Product-type operators on the space of fractional Cauchy transforms ⋮ The growth of derivatives of multipliers of fractional Cauchy transforms ⋮ Cauchy transforms and multipliers ⋮ Composition operators on spaces of fractional Cauchy transforms ⋮ Unnamed Item ⋮ Generalized Stević-Sharma type operators on spaces of fractional Cauchy transforms ⋮ Multipliers of Cauchy integrals of logarithmic potentials ⋮ Difference of weighted composition operators on the space of Cauchy integral transforms ⋮ FAMILIES OF FRACTIONAL FANTAPPIÈ TRANSFORMS ⋮ Fractional Cauchy transforms, multipliers and Cesàro operators ⋮ Families of fractional Cauchy transforms in the ball ⋮ Difference of composition operators from the space of Cauchy integral transforms to the Dirichlet space ⋮ Bounded analytic families of Cauchy-Stieltjes integrals ⋮ A class of integral operators from weighted integral transforms to Dirichlet spaces ⋮ Cauchy transforms of measures and weighted shift operators on the disc algebra ⋮ Omitted rays and wedges of fractional Cauchy transforms ⋮ On properties of multipliers of Cauchy transforms ⋮ Growth of the area function for multipliers of analytic fractional cauchy transforms ⋮ 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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• Inner functions and multipliers of Cauchy type integrals
• The radial variation of analytic functions
• Radial growth and variation of bounded analytic functions
• Closure Properties of Families of Cauchy-Stieltjes Transforms
• Properties of multipliers of Cauchy-Stieltjes integrals and some factorization problems for analytic functions
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Real Proofs of Complex Theorems (and Vice Versa)
• On multipliers preserving convergence of trigonometric series almost everywhere

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