Speaker
Simona Myslivets
(Siberian Federal University, Krasnoyarsk)
Description
We prove the infinite differentiability of an integral operator of the potential type for an infinitely differentiable function defined on the boundary of the domain in $\mathbb{C}^n$ with the boundary of the class $\mathcal{C}^\infty$, up to the boundary of the domain on both sides.
We also prove the real analyticity of the Bochner--Martinelli integral for a real analytic function given at the boundary of the domain.
The author was supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075-02-2020-1534/1).
Primary author
Simona Myslivets
(Siberian Federal University, Krasnoyarsk)
