7 papers
Graphs with multiple sheeted pluripolar hulls
Evgeny Poletsky, Jan Wiegerinck
In this paper we study the pluripolar hulls of analytic sets. In particular, we show that hulls of graphs of analytic functions can be multiple sheeted and sheets can be separated…
Determination of the pluripolar hull of graphs of certain holomorphic functions
Armen Edigarian, Jan Wiegerinck
Let A be a closed polar subset of a domain D in the complex plane C. We give a complete description of the pluripolar hull in D X C of the graph of a holomorphic function defined o…
Strongly exposed points in the ball of the Bergman space
Paul Beneker, Jan Wiegerinck
We investigate which boundary points in the closed unit ball of the Bergman space of integrable holomorphic functions on the unit disc are strongly exposed. This requires study of…
The pluripolar hull of the graph of a holomorphic function with polar singularities
Armen Edigarian, Jan Wiegerinck
We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D in the complex plane outside a polar set A of D. This leads to a theorem that describes…
Graphs that are not complete pluripolar
Armen Edigarian, Jan Wiegerinck
Let D_1 be a subdomain of D_2 in the complex plane CC. Under very mild conditions on D_2 we show that there exist holomorphic functions f, defined on D_1 with the property that …
Reinhardt domains with a cusp at the origin
O. Lemmers, J. Wiegerinck
Let V be a bounded pseudoconvex Reinhardt domain in C^2 with many strictly pseudoconvex points and logarithmic image W. It was known that the maximal ideal in consi…