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Continuous Boundary Values of Holomorphic Functions on Kähler Domains

Published online by Cambridge University Press:  20 November 2018

Barnet M. Weinstock
Barnet M. Weinstock*
Affiliation:
University of Kentucky, Lexington, Kentucky
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Let M be a complex manifold of dimension n which admits a Kähler metric, and let D be a relatively compact domain on M whose boundary B is a C ∞ submanifold of M of real codimension one. The object of this paper is to use the potential theory associated with the Laplace-Beltrami operator on M to characterize the continuous functions on B which have holomorphic extensions to D.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 513 - 522
Copyright
Copyright © Canadian Mathematical Society 1976

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