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arXiv · 1808.08078

On the Moser-Trudinger inequality in complex space

Per Ahag·Rafal Czyz
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Abstract

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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Per Ahag, Rafal Czyz. 2018-08-24. On the Moser-Trudinger inequality in complex space. https://doi.org/10.1016/j.jmaa.2019.07.006

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