On a Sharp Inequality Concerning the Dirichlet Integral

DOI10.2307/2374345zbMath0578.30010OpenAlexW1989243683MaRDI QIDQ3699987

Donald E. Marshall, Sun Yung Alice Chang

Publication date: 1985

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ce506645d63216cbe83ec6d7f8e4746cbe786b66

zbMATH Keywords

value distributionPoisson kernelDirichlet integralBeurling function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Special classes of entire functions of one complex variable and growth estimates (30D15) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (14)

Exponential integrability of mappings of finite distortion ⋮ Sharp Exponential Integrability for Traces of Monotone Sobolev Functions ⋮ Weighted Trudinger inequality associated with rough multilinear fractional type operators ⋮ Function theoretic characterizations of Weil-Petersson curves ⋮ Radial rearrangement, harmonic measures and extensions of Beurling's shove theorem ⋮ Properties of extremal functions for some nonlinear functionals on Dirichlet spaces ⋮ Univalent interpolation in Besov spaces and superposition into Bergman spaces ⋮ Mappings of finite distortion: boundary extensions in uniform domains ⋮ The weak Chang-Marshall inequality via Green's formula ⋮ Bloch functions and asymptotic tail variance ⋮ An extremal function for the Chang-Marshall inequality over the Beurling functions ⋮ Sharp estimates of uniform harmonic majorants in the plane ⋮ A new proof of a sharp inequality concerning the Dirichlet integral ⋮ An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces

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