Extremal Length and Harmonic Functions on Riemann Surfaces

DOI10.2307/1996372zbMath0249.31004OpenAlexW4241956128MaRDI QIDQ5662677

Carl David Minda

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996372

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Classification theory of Riemann surfaces (30F20)

Related Items (9)

Dirichlet solutions on bordered Riemann surfaces and quasiconformal mappings ⋮ Extremal length, reproducing differentials and Abel’s theorem ⋮ Conformal invariants associated with quadratic differentials ⋮ Square integrable differentials on Riemann surfaces ⋮ Quadratic differentials and conformal invariants ⋮ Extremal length and reproducing differentials on Riemann surfaces ⋮ An Extremal Length Problem on a Bordered Riemann Surface ⋮ Characterization of quasi-disks and Teichmüller spaces ⋮ The method of extremal length

Cites Work

• Extremal and conjugate extremal distance on open Riemann surfaces with applications to circular-radial slit mappings
• Confromal invariants and function-theoretic null-sets
• Extremal length and removable boundaries of Riemann surfaces
• On the span of a Riemann surface
• On continuity of extremal distance and its applications to conformal mappings
• Properties of Conformal Invariants
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