The distribution of Picard dimensions

DOI10.2996/kmj/1138036852zbMath0554.31006OpenAlexW2071729065MaRDI QIDQ759865

Mitsuru Nakai, Toshimasa Tada

Publication date: 1984

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036852

zbMATH Keywords

Martin boundarycardinalitylocally Hölder continuousdistribution of Picard dimensionsideal boundary theoryset of extremal points

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Martin boundary theory (31C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (5)

Extreme nonmonotoneity of the Picard principle ⋮ Invariance of Picard dimensions under basic perturbations ⋮ Isolated singularities and positive solutions of elliptic equations in \(R^ n\) ⋮ Nonmonotoneity of Picard Principle ⋮ Picard Dimensions of Close to Rotationally Invariant Densities

Cites Work

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• The range of Picard dimensions
• Densities without Evans solutions
• Picard principle for finite densities

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