Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Kytmanov, Alexander M.; Myslivets, Simona G.
- Contact information
- Kytmanov, Alexander M. : Siberian Federal University (Krasnoyarsk, Russian Federation); OCRID: 0000-0002-7394-1480; Myslivets, Simona G. : Siberian Federal University (Krasnoyarsk, Russian Federation);
- Keywords
- simple layer potential; Bochner-Martinelli integral; Cauchy-Fantappi`e integral; real analytic functions
- 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
- Pages
- 614–626
- EDN
- IFHCAP
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/159292
Journal of Siberian Federal University. Mathematics & Physics / On the Boundary Behavior of Potentials of Real Analytic Functions
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