Cauchy transforms of measures and weighted shift operators on the disc algebra

DOI10.1216/rmjm/1181072077zbMath0863.30045OpenAlexW2024184332MaRDI QIDQ1815507

R. A. Hibschweiler, Eric Nordgren

Publication date: 10 June 1997

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

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol26-2/CONT26-2/CONT26-2.html

zbMATH Keywords

Cauchy transform

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Cyclic behaviour of certain operators on the disc algebra ⋮ Composition operators on spaces of fractional Cauchy transforms ⋮ Unnamed Item ⋮ Weighted composition operators between the fractional Cauchy spaces and the Bloch-type spaces ⋮ Fractional Cauchy transforms

Cites Work

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• Inner functions and multipliers of Cauchy type integrals
• Some mapping properties of the group algebras of a compact group
• The almost periodic measures on a compact abelian group
• Closure Properties of Families of Cauchy-Stieltjes Transforms
• Properties of multipliers of Cauchy-Stieltjes integrals and some factorization problems for analytic functions
• Multipliers of Families of Cauchy-Stieltjes Transforms
• EXISTENCE OF A BASIS IN THE SPACE OF FUNCTIONS ANALYTIC IN THE DISK, AND SOME PROPERTIES OF FRANKLIN'S SYSTEM
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Fractional Cauchy Transforms, Inner Functions and Multipliers

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