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The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C^n

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Author

Summary, in English

Let Ω be a B-regular domain in ℂn and let V be a locally irreducible analytic variety in Ω. Given a continuous function , we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by ϕ and furthermore that u is continuous on .

Publishing year

2009

Language

English

Pages

521-528

Publication/Series

International Journal of Mathematics

Volume

20

Issue

4

Document type

Journal article

Publisher

World Scientific Publishing

Topic

  • Mathematics
  • Mathematical Analysis

Keywords

  • analytic varieties
  • Maximal plurisubharmonic functions
  • Jensen measures

Status

Published

ISBN/ISSN/Other

  • ISSN: 0129-167X