On the Moser-Trudinger inequality in complex space

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.

References in corpus (2)

• Exponential estimates for plurisubharmonic functions and stochastic dynamics
• Plurisubharmonic functions with weak singularities

Cited by in corpus (1)

• Poincaré- and Sobolev- type inequalities for complex $m$-Hessian equations