S. G. Myslivets, “On the Szegö and Poisson kernels in the convex domains in <nobr>$\mathbb{C}^n$</nobr>”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, Number 1,Pages <nobr>42

This article is cited in 6 papers

On the Szegö and Poisson kernels in the convex domains in $\mathbb{C}^n$

S. G. Myslivets

Siberian Federal University, 79 Svobodnyi Ave., Krasnoyarsk, 660041 Russia

Abstract: We construct the Szegö and Poisson kernel in the convex domains in $\mathbb{C}^n$ and study their properties.

Keywords: convex domain, Szegö kernel, Poisson kernel.

UDC: 517.55

Received: 29.11.2017
Revised: 29.11.2017
Accepted: 22.03.2018

DOI: 10.26907/0021-3446-2019-1-42-48