Fractional Cauchy transforms

DOI10.1016/S0377-0427(99)00022-9zbMath0943.44004OpenAlexW4206554450MaRDI QIDQ1301947

Thomas H. MacGregor

Publication date: 12 September 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00022-9

zbMATH Keywords

compositionsBanach spaceszerosmultipliersboundary valuesgeometric function theoryfractional Cauchy transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15) Fractional derivatives and integrals (26A33) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Geometric function theory (30Cxx)

Related Items (4)

Generalized Stević-Sharma type operators on spaces of fractional Cauchy transforms ⋮ Compact composition operators on spaces of exponential Cauchy kernels ⋮ Omitted rays and wedges of fractional Cauchy transforms ⋮ On asymptotic behavior of fractional Cauchy transform

Cites Work

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• A criterical growth rate for functions regular in a disk
• The Taylor coefficients of inner functions
• Tangential boundary behavior of functions in Dirichlet-type spaces
• Inner functions and multipliers of Cauchy type integrals
• A-integrability of the boundary values of harmonic functions
• On properties of multipliers of Cauchy transforms
• Growth and zero sets of analytic families of Cauchy-Stieltjes integrals
• On the sharp growth of analytic Cauchy-Stieltjes transforms
• The growth of derivatives of multipliers of fractional Cauchy transforms
• Bounded analytic families of Cauchy-Stieltjes integrals
• Cauchy transforms of measures and weighted shift operators on the disc algebra
• Generalized multipliers of families of Cauchy transforms
• On Cauchy integrals of logarithmic potentials and their multipliers
• Large and small subspaces of Hilbert space
• Blaschke products with derivative in H\(^p\) and B\(^p\)
• On the zeros of functions with bounded Dirichlet integrals
• Note on the multipliers of Cauchy integrals of logarithmic potentials
• Integral Representations of Univalent Functions and Singular Measures
• Univalent functions with restricted growth and cauchy-stieltjes integrals
• Tangential Boundary Behaviour of the Cauchy Integral
• 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
• Multipliers of Fractional Cauchy Transforms and Smoothness Conditions
• Radial growth and exceptional sets for Cauchy–Stieltjes integrals
• Radial limits and radial growth of cauchy-stieltjes transforms
• Convex Hulls and Extreme Points of Families of Starlike and Convex Mappings
• Properties of special classes of analytic functions which are multipliers of the Cauchy-Stieltjes integrals
• Hereditary properties of analytic cauchy-stieltjes transforms
• Fractional Cauchy Transforms, Inner Functions and Multipliers
• Multipliers of Cauchy integrals of logarithmic potentials
• A note on fractional cauchy transforms and their multipliers
• Convex Hulls of Some Classical Families of Univalent Functions

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