Some results connected with Brennan's conjecture

DOI10.1007/BF02559522zbMath0805.30018WikidataQ123274997 ScholiaQ123274997MaRDI QIDQ1329657

Lennart Carleson, Nikolai Makarov

Publication date: 26 January 1995

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

derivativeharmonic measureintegral meansBrennan conjecture

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Capacity and harmonic measure in the complex plane (30C85)

Related Items

Bergman kernel and hyperconvexity index ⋮ Regular poles and \(\beta\)-numbers in the theory of holomorphic semigroups ⋮ An estimate of the universal means spectrum of conformal mappings ⋮ On the Brennan conjecture ⋮ Coefficient estimates for negative powers of the derivative of univalent functions ⋮ On an inequality for the universal spectrum of integral means ⋮ The dual of a Bergman space on simply connected domains. ⋮ On means with power $-2$ for the dervatives of functions of class $S$ ⋮ Three Problems in Function Theory ⋮ Integral means spectrum and the modified Bessel function of zero order ⋮ Quasiconformal Lipschitz maps, Sullivan's convex hull theorem and Brennan's conjecture ⋮ Spectral notions for conformal maps: a survey ⋮ Contact points and fractional singularities for semigroups of holomorphic self-maps of the unit disc ⋮ Extremal domains for the geometric reformulation of Brennan's conjecture ⋮ Weighted Bergman spaces and the integral means spectrum of conformal mappings ⋮ On Brennan's conjecture for a special class of functions ⋮ The integral means spectrum of univalent functions ⋮ Laplacian path models. ⋮ Harmonic measure and SLE ⋮ The coefficient problem and multifractality of whole-plane SLE \& LLE

Cites Work

• A counterexample concerning integrability of derivatives of conformal mappings
• Conformal mapping and Hausdorff measures
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• On coefficient problems for univalent functions and conformal dimension
• On the distortion of sets on a Jordan curve under conformal mapping
• The Integrability of the Derivative in Conformal Mapping

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