Estimates on integral means of the derivatives of univalent functions

DOI10.1007/BF02789979zbMath0371.30014OpenAlexW1978576436MaRDI QIDQ1243387

Jinfu Feng, Thomas H. MacGregor

Publication date: 1976

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02789979

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55)

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Techniques to Derive Estimates for Integral Means and Other Geometric Quantities Related to Conformal Mappings ⋮ An estimate of the universal means spectrum of conformal mappings ⋮ Beurling's free boundary value problem in conformal geometry ⋮ On an inequality for the universal spectrum of integral means ⋮ The dual of a Bergman space on simply connected domains. ⋮ Harmonic measure on simply connected domains of fixed inradius ⋮ Spectral notions for conformal maps: a survey ⋮ Univalent functions in Hardy, Bergman, Bloch and related spaces ⋮ Logarithmic coefficients and generalized multifractality of whole-plane SLE ⋮ Coefficients of univalent functions ⋮ Weighted Bergman spaces and the integral means spectrum of conformal mappings ⋮ On the analytic part of univalent harmonic mappings ⋮ Estimates on integral means of the derivatives of univalent functions ⋮ A Note on Integral Means of the Derivative in Conformal Mapping ⋮ The coefficient problem and multifractality of whole-plane SLE \& LLE

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