arXiv 1808.080782018-08-24math.CVmath.AP

On the Moser-Trudinger inequality in complex space

Per Ahag, Rafal Czyz

DOI：: 10.1016/j.jmaa.2019.07.006

英文摘要：

In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space. We consider these inequalities for plurisubharmonic functions with finite pluricomplex energy, and we estimate the concerned constants.

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