scholarly journals A theorem in fine potential theory and applications to finely holomorphic functions

1980 ◽  
Vol 37 (1) ◽  
pp. 19-26 ◽  
Author(s):  
T.J Lyons
Keyword(s):  
Potential Theory ◽  
Holomorphic Functions ◽  
Fine Potential

Continuous Boundary Values of Holomorphic Functions on Kähler Domains

1976 ◽  
Vol 28 (3) ◽  
pp. 513-522 ◽  
Author(s):  
Barnet M. Weinstock
Keyword(s):  
Potential Theory ◽  
Holomorphic Functions ◽  
Continuous Functions ◽  
Beltrami Operator ◽  
Compact Domain ◽  
Boundary Values ◽  
Codimension One ◽  
Continuous Boundary ◽  
Holomorphic Extensions ◽  
Real Codimension

LetMbe a complex manifold of dimensionnwhich admits a Kähler metric, and letDbe a relatively compact domain onMwhose boundaryBis a C ∞ submanifold ofMof real codimension one. The object of this paper is to use the potential theory associated with the Laplace-Beltrami operator onMto characterize the continuous functions onBwhich have holomorphic extensions toD.

scholarly journals Uniform Approximation and Fine Potential Theory

1993 ◽  
Vol 72 (2) ◽  
pp. 138-140 ◽  
Author(s):  
P.M. Gauthier ◽  
S. Ladouceur
Keyword(s):  
Potential Theory ◽  
Uniform Approximation ◽  
Fine Potential

Potential Theory and Right Processes

2004 ◽  
Author(s):  
Lucian Beznea ◽  
Nicu Boboc
Keyword(s):  
Potential Theory
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