Fractional Cauchy transforms, multipliers and Cesàro operators

DOI10.1090/S0002-9939-09-10122-3zbMath1246.32001MaRDI QIDQ5189190

Evgueni Doubtsov

Publication date: 8 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

pointwise multiplierfractional Cauchy transformextended Cesàro operator

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (max. 100)

Multipliers for logarithmic Cauchy integrals in the ball ⋮ FAMILIES OF FRACTIONAL FANTAPPIÈ TRANSFORMS

Cites Work

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• Growth spaces on circular domains: Composition operators and Carleson measures
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Multipliers of fractional Cauchy transforms
• Families of fractional Cauchy transforms in the ball
• Integration operators on Bergman spaces
• Multipliers of Families of Cauchy-Stieltjes Transforms
• Multipliers of Fractional Cauchy Transforms and Smoothness Conditions
• Extended Cesàro operators on mixed norm spaces
• An Integral Operator on H^p

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