On the Cegrell Classes Associated to a Positive Closed Current

【Author】

Mohamed ZAWAY;Department of Mathematics, Faculty of Sciences Ad Dwadimi,Shaqra University;Department of Mathematics, Faculty of Science of Gabes, University of Gabes;

【Institution】

Department of Mathematics, Faculty of Sciences Ad Dwadimi,Shaqra University;Department of Mathematics, Faculty of Science of Gabes, University of Gabes;

【Abstract】

The aim of this paper is to study the operatoron■ on some classes of plurisubharmonic (psh) functions, which are not necessary bounded, where T is a positive closed current of bidimension (q, q) on an open set ? of C~n. The author introduces two classes F_p~T (?) and■ and shows first that they belong to the domain of definition of the operator■. Then the author proves that all functions that belong to these classes are C_T-quasi-continuous and that the comparison principle is valid for them.

【Keywords】

Positive closed current;;Plurisubharmonic function;;Capacity;;Monge-Ampère Operator

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