Extremal length and the boundary behavior of conformal mappings

DOI10.5186/aasfm.1976.0231zbMath0348.30007OpenAlexW2319554939MaRDI QIDQ4118072

Stefan E. Warschawski, Burton Rodin

Publication date: 1976

Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.1976.0231

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (16)

Harmonic measure, \(L^ 2\) estimates and the Schwarzian derivative ⋮ Remarks on a paper of K. Burdzy ⋮ Approximate calculation of the defect of a Lipschitz cylindrical condenser ⋮ Extremal functions for modules of systems of measures ⋮ Conformal invariants and the angular derivative problem ⋮ On the minimum of harmonic functions ⋮ On comb domains ⋮ Modules of systems of measures on polarizable Carnot groups ⋮ Small modifications of quadrature domains ⋮ Boundary distortion estimates for holomorphic maps ⋮ On the zeros of entire functions with a majorant of infinite order ⋮ Extremal length and univalent functions. I: The angular derivative ⋮ On the angular derivative of comb domains ⋮ Angular derivatives and semigroups of holomorphic functions ⋮ Remarks on conformality at the boundary ⋮ Criterion for the vanishing of the oscillation of the real part of a conformal mapping of strips

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