О граничном поведении потенциалов от вещественно аналитических функций

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

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SibFU Digital Repository (Siberian Federal University)
Published
2026-07-30
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

О граничном поведении потенциалов от вещественно аналитических функций

А. М. Кытманов, Simona G. Myslivets, Александр М. Кытманов
SibFU Digital Repository (Siberian Federal University)
Holomorphic and Operator Theory
article

О граничном поведении потенциалов от вещественно аналитических функций

А. М. Кытманов, Simona G. Myslivets, Александр М. Кытманов
article en

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

SibFU Digital Repository (Siberian Federal University)
Siberian Federal University (RU)
Reduced inequalities
Openalex Percentile: Top 4%
Holomorphic and Operator Theory
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