Abstract. We introduce the concept of logarithmic convex hull for Reinhardt domains of continuous functions, and show that the holomorphic hull of a complete Reinhardt domain in ${\cal C}_0(\Omega )$ over a locally compact topological space contains the logarithmic convex hull in a natural manner.
AMS Subject Classification
(1991): 32D26; 32D10, 46E15
Keyword(s):
continuous Reinhardt domain,
log-convexity,
holomorphic hull
Received August 1, 2012, and in revised form November 23, 2012. (Registered under 56/2012.)
|