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math.CV2021
On the regularity of the complex Hessian equation
Per Ahag, Rafal Czyz
This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the -Hessian measure that belongs to…
math.CV2021
On a family of quasimetric spaces in generalized potential theory
Per Ahag, Rafal Czyz
We construct a family of quasimetric spaces in generalized potential theory containing -subharmonic functions with finite -energy. These quasimetric spaces will be viewed…
math.CV2021★ 2 cited
Geodesics in the space of -subharmonic functions with bounded energy
Per Ahag, Rafal Czyz
With inspiration from the Kähler geometry, we introduce a metric structure on the energy class, , of -subharmonic functions with bounded energy and show that…