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

Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 63-79

Résumé

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.

Détail

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

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