Journal article
The Dirichlet problem for maximal plurisubharmonic functions on analytic varieties in C-n
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Publication Details
Author list: Wikström, Frank
Publication year: 2009
Start page: 521
End page: 528
Number of pages: 8
ISSN: 0129-167X
View additional information: View in Web of Science™
Abstract
Let Omega be a B-regular domain in C-n and let V be a locally irreducible analytic variety in Omega. Given a continuous function phi is an element of C((V) over bar boolean AND partial derivative Omega), we prove that there is a unique maximal plurisubharmonic function u on V with boundary values given by f and furthermore that u is continuous on (V) over bar.
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