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arXiv · 2304.03961

Lower envelopes with respect to convex subcones of subharmonic and plurisubharmonic functions

E. B. Menshikova·B. N. Khabibullin
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Abstract

Let $D$ be a domain in a finite-dimensional Euclidean space, and $H$ be a convex subcone in the convex cone of all subharmonic functions on $D$. We obtain a criterion for the existence of a lower envelope from $H$ for an arbitrary function from $H-H$.

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E. B. Menshikova, B. N. Khabibullin. 2023-04-08. Lower envelopes with respect to convex subcones of subharmonic and plurisubharmonic functions. https://arxiv.org/abs/2304.03961

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