- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (4)
- Authors
- Shamoyan, Romi F.; Tomashevskaya, Elena B.
- Contact information
- Shamoyan, Romi F.: Bryansk State University Bryansk, Russian Federation, ; Tomashevskaya, Elena B.: Bryansk State University Bryansk, Russian Federation;
- Keywords
- pseudoconvex domains; unit ball; Bergman spaces; decomposition theorems; Hardy type spaces
- Abstract
We provide new sharp decomposition theorems for multifunctional Bergman spaces in the unit ball and bounded pseudoconvex domains with smooth boundary expanding known results from the unit ball. Namely we prove that mΠ j=1 jjfj jjXj ≍ jjf1 : : : fmjj Ap for various (Xj) spaces of analytic functions in bounded pseudoconvex domains with smooth boundary where f; fj ; j = 1; : : : ;m are analytic functions and where Ap ; 0 < p < 1; > �����1 is a Bergman space. This in particular also extend in various directions a known theorem on atomic decomposition of Bergman Ap spaces.
- Pages
- 503–514
- DOI
- 10.17516/1997-1397-2020-13-4-503-514
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/135385
Journal of Siberian Federal University. Mathematics & Physics / On New Decomposition Theorems in some Analytic Function Spaces in Bounded Pseudoconvex Domains
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