A characterization of the degenerate complex Hessian equations for functions with bounded (p,m)-energy

2020/03/13 by Ahag, Per, Czyz, Rafal
#31C45 #35J60 #46E35 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Primary 32U05 #Secondary 53C55

paper · doi:10.48550/arxiv.2003.06157

Abstract

By proving an estimate of the sublevel sets for (ω,m)-subharmonic functions we obtain a Sobolev type inequality that is then used to characterize the degenerate complex Hessian equations for such functions with bounded (p,m)-energy.

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