On some weighted energy classes of plurisubharmonic functions

2009/06/22 by Hai, Le Mau, Hiep, Pham Hoang · 1 citation
#32Q15 #32U05 #32U40 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.3982

Abstract

In this paper we study the relation between the weighted energy class E_χ introduced by S. Benelkouchi, V. Guedj and A. Zeriahi recently with the classes E and N studied by Cegrell. Moreover, we establish a generalized comparison principle for the operator M_χ and, as an application, we prove a slight version of existence of solutions of Monge-Ampère type equation in the class E_χ(H,Ø).

Cited by

• A note on the subsolution theorem in weighted energy classes of m-subharmonic functions with given boundary values

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