Convergence in capacity for Cegrell classes on complex varieties in domains of $C^n$

Diệu Nguyễn1, Kieu Phuong Chi2, Tang Van Long3
1Professor
2Sai Gon University
3Hanoi National University of Education

Tóm tắt

Let $V$ be a complex variety embedded in a bounded domain $ D \subset C^n.$ Assuming that the singularities of $ V$  are not too severe — for example, if $V$ is locally irreducible — we prove a convergence in capacity for the complex Monge-Ampère operator acting on plurisubharmonic functions in the Cegrell class on $V$.

Từ khóa

#plurisubharmonic function #complex varieties #Monge-Ampere operator #Capacity

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