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- W3211111937 abstract "Let $G$ be a nonempty bounded domain in a finite-dimensional Euclidean space. The main results are general estimates from below at points from $G$ for an arbitrary subharmonic function $unotequiv -infty$ on the closure of the domain $G$ through the maximum of the function $u$ on the boundary of the domain $G$. These results are new for planar domains $G$, and for intervals of $G$ on the numerical line have also not been previously noted. They show that the Harnack distance plays a key role in these estimates. Further applications to subharmonic, convex, holomorphic functions, as well as to meromorphic functions and differences of subharmonic functions in domains of a particular type are supposed to be outlined in the continuation of this article." @default.
- W3211111937 created "2021-11-08" @default.
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- W3211111937 date "2021-10-20" @default.
- W3211111937 modified "2023-09-26" @default.
- W3211111937 title "Lower bounds for subharmonic functions in terms of the Harnack distance" @default.
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- W3211111937 doi "https://doi.org/10.48550/arxiv.2110.12898" @default.
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