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arXiv · 2110.02611

On a family of quasimetric spaces in generalized potential theory

Per Ahag·Rafal Czyz
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Abstract

We construct a family of quasimetric spaces in generalized potential theory containing $m$-subharmonic functions with finite $(p,m)$-energy. These quasimetric spaces will be viewed both in $\mathbb{C}^n$ and in compact K\"ahler manifolds, and their convergence will be used to improve known stability results for the complex Hessian equations.

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Per Ahag, Rafal Czyz. 2021-10-06. On a family of quasimetric spaces in generalized potential theory. https://arxiv.org/abs/2110.02611

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