Year: 2026
Type: article
Abstract: In this article, we consider potentials of real-analytic densities defined on the boundary of a bounded domain D ⊂ Rn and study their boundary behavior. We also obtain estimates for the extensions of these potentials to the complex domain. These estimates can be applied to various multidimensional integral representations (Bochner-Martinelli, Cauchy-Fantappi`e) for holomorphic functions in multidimensional complex spaces
Institution: Siberian Federal University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7172074249
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