1 citations · 2 across the 5 of their papers we have counts for
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Continuity Properties of Finely Plurisubharmonic Functions and pluripolarity
Said El Marzguioui, Jan Wiegerinck
We prove that every bounded finely plurisubharmonic function can be locally (in the pluri-fine topology) written as the difference of two usual plurisubharmonic functions. As a con…
Connectedness in the Pluri-fine Topology
Said El Marzguioui, Jan Wiegerinck
We study connectedness in the pluri-fine topology on $\CC^n$ and obtain the following results. If is a pluri-finely open and pluri-finely connected set in $\CC^n$ and $E\subset…
Pluripolar hulls and fine analytic structure
Tomas Edlund, Said El Marzguioui
We discuss the relation between pluripolar hulls and fine analytic structure. Our main result is the following. For each non polar subset of the complex plane we pr…
The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck
We prove that the image of a finely holomorphic map on a fine domain in is pluripolar subset of . We also discuss the relationship between pluripolar h…
The pluri-fine topology is locally connected
Said El Marzguioui, Jan Wiegerinck
We prove that the pluri-fine topology on any open set in is locally connected. This answers a question by Fuglede in [4]. See also Bedford [6].