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arxiv: 1808.08078 · v1 · pith:XAY3T6G6new · submitted 2018-08-24 · 🧮 math.CV · math.AP

On the Moser-Trudinger inequality in complex space

classification 🧮 math.CV math.AP
keywords complexinequalitiesmoser-trudingerpluricomplexspaceconcernedconsiderconstants
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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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