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math.CV2002
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…
math.CV2002
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…
math.CV2002
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 …