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Pseudoconvex classes of functions. I: Pseudoconcave and pseudoconvex sets

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Publication:584455
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DOI10.2140/pjm.1988.134.343zbMath0693.31006OpenAlexW2017209191MaRDI QIDQ584455

Zbigniew Slodkowski

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.134.343


zbMATH Keywords

maximum principleLie groupBremermann-Dirichlet problemcomplex interpolation theorydual classesP- maximum setsP-pseudoconvex set


Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Pluriharmonic and plurisubharmonic functions (31C10) Abstract interpolation of topological vector spaces (46M35) Plurisubharmonic functions and generalizations (32U05)


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Interpolation, Prekopa and Brunn-Minkowski for \(F\)-subharmonicity ⋮ Weak solutions for the Levi equation and envelope of holomorphy ⋮ Complex Interpolation of Normed and Quasinormed Spaces in Several Dimensions. II. Properties of Harmonic Interpolation ⋮ Dirichlet duality and the nonlinear Dirichlet problem ⋮ Complex Interpolation for Normed and Quasi-Normed Spaces in Several Dimensions. III. Regularity Results for Harmonic Interpolation ⋮ Complex Interpolation of Normed and Quasinormed Spaces in Several Dimensions. I ⋮ Approximation of Analytic Multifunctions



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