On conformal mapping and linear measure

DOI10.1007/BF02796587zbMath0604.30029OpenAlexW4230274343MaRDI QIDQ1083581

Christian Pommerenke

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf02796587

zbMATH Keywords

conformal mappingharmonic measureHausdorff measureMcMillan's twist point theoremPlessner's theorem

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items

Harmonic measure, \(L^ 2\) estimates and the Schwarzian derivative, On the boundary derivative for univalent functions, Unavoidable sets and harmonic measures living on small sets, Two measures on Cantor sets, Boundary values in spaces spanned by rational functions and the index of invariant subspaces, Absolute continuity of harmonic measure for domains with lower regular boundaries, Tangent measures of elliptic measure and applications, Teichmüller spaces and BMOA, The lower density conjecture for harmonic measure, Plane harmonic measures live on sets of \(\sigma\)-finite length

Cites Work

• Brownian motion and sets of harmonic measure zero
• On the angular derivative and univalence
• Compression and expansion of boundary sets
• On the Distortion of Boundary Sets Under Conformal Mappings
• On the support of harmonic measure for sets of Cantor type
• Null Sets for Measures Orthogonal to R(X)
• Boundary behavior of a conformal mapping
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