RUS  ENG
Full version
JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021 Volume 34, Number 1, Pages 63–79 (Mi vkam456)

MATHEMATICS

On new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones

R. F. Shamoyan, E. B. Tomashevskaya

Department of Mathematics, Bryansk State Technical University

Abstract: We introduce new multifunctional mixed norm analytic Herz-type spaces in tubular domains over symmetric cones and provide new sharp embedding theorems for them. Some results are new even in case of onefunctional holomorphic spaces. Some new related sharp results for new multifunctional Bergman-type spaces will be also provided under one condition on Bergman kernel.

Keywords: Bergman spaces, Herz spaces, tubular domains over symmettic cones, embedding theorems, analytic functions.

UDC: 517.55+517.33

MSC: Primary 49J15; Secondary 49N05

Language: English

DOI: 10.26117/2079-6641-2021-34-1-63-79



© Steklov Math. Inst. of RAS, 2025