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

Published 13 Mar 2020 in math.CV and math.DG | (2003.06157v1)

Abstract: By proving an estimate of the sublevel sets for $(\omega,m)$-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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Authors (2)

  1. Per Ahag 
  2. Rafal Czyz 

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