Reports AIAS. Vol. 21, no 3. P. 21-33. ISSN 1726-9946
DOI: 10.47928/1726-9946-2021-21-3-21-33
MATHEMATICS
Research Article
On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones
1Shamoyan R.F., 2Tomashevskaya E.B.
Presented by academician of AIAS N.L. Patchulia
Bryansk State Technical University, Bryansk
E-mail: 1rshamoyaan@gmail.com; 2Tomele@mail.ru
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 symmetric cones, embedding theorems, analytic functions.
© R.F. Shamoyan,
E.B. Tomashevskaya, 2021
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For citation. Shamoyan R.F., Tomashevskaya E.B. On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones. Reports Adyghe (Circassian) International Academy of Sciences. 2021, vol. 21, no. 3, pp. 21-33. DOI: 10.47928/1726-9946-2021-21-3-21-33