3 papers
math.CV2012
Supports of Weighted Equilibrium Measures: Complete Characterization
Muhammed Ali Alan, Nihat Gokhan Gogus
In this paper, we prove that a compact set is the support of a weighted equilibrium measure if and only it is not pluripolar at each of its points extending…
math.CV2012
Poletsky-Stessin-Hardy spaces in the plane
Nihat Gokhan Gogus, Muhammed Ali Alan
In this paper we give two complete characterizations of the Poletsky- Stessin- Hardy spaces in the complex plane: First in terms of their boundary values as a weighted subclass of…
math.CV2008
Weighted -Incomplete Pluripotential Theory
Muhammed Ali Alan
Weighted pluripotential theory is a rapidly developing area; and Callaghan \cite{Callaghan} recently introduced -incomplete polynomials in \cd for . In this paper we combin…