R. F. Shamoyan, “On Bergman-type spaces in tubular domains over symmetric cones”, Daghestan Electronic Mathematical Reports, 2020, Issue 14,Pages <nobr>22

On Bergman-type spaces in tubular domains over symmetric cones

R. F. Shamoyan

Department of Mathematics and Physic, Bryansk State University, Bryansk, Russia

Abstract: Some properties of new Bergman-type integral operators on product of the tube domains are obtained. An integral condition in tube to get atomic-type decomposition in multifunctional analytic Bergman spaces in tube domains over symmetric cones are provided.

Keywords: Bergman-type integral operators, tube domains, analytic functions, Bergman-type spaces.

UDC: 517.98

Received: 17.08.2020
Revised: 16.12.2020
Accepted: 16.12.2020

Language: English

DOI: 10.31029/demr.14.2