Harmonic Functions on Open Riemann Surfaces

DOI10.2307/1990823zbMath0049.17806OpenAlexW4249396704MaRDI QIDQ5816202

H. L. Royden

Publication date: 1952

Full work available at URL: https://doi.org/10.2307/1990823

zbMATH Keywords

complex functions

Related Items (17)

A Property of Quasi-Conformal Mapping ⋮ On completeness of Royden's algebra ⋮ Bordered Riemann surfaces ⋮ Liouville theorems for \(f\)-harmonic maps into Hadamard spaces ⋮ Stable solutions of elliptic equations on Riemannian manifolds ⋮ A remark on Royden's compactification of Riemannian spaces ⋮ On multiple circuit chains with a countable infinity of states ⋮ Dirichlet finite solutions of Δ𝑢=𝑃𝑢, and classification of Riemann surfaces ⋮ Stable solutions of symmetric systems on Riemannian manifolds ⋮ A Riemann on the ideal boundary of a Riemann surface ⋮ A remark on a subdomain of a Riemann surface of the class $O_HD$ ⋮ Faber and Grunsky operators corresponding to bordered Riemann surfaces ⋮ Harmonic Dirichlet functions on planar graphs ⋮ Random walk on the Speiser graph of a Riemann surface ⋮ Examples of malformed subsets of a Riemann surface ⋮ A New Technique for the Study of Complete Maximal Hypersurfaces in Certain Open Generalized Robertson–Walker Spacetimes ⋮ Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Cites Work

• Über die Existenz der Greenschen Funktionen auf einer gegebenen Riemannschen Fläche
• The method of orthogonal projection in potential theory
• Harmonic fields in Riemannian manifolds (Generalized potential theory)
• Confromal invariants and function-theoretic null-sets
• Open Riemann surfaces and extremal problems on compact subregions
• Ein Kriterium zur Typenbestimmung von Riemannschen Flächen
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