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Adyghe International Scientific Journal, 2022, Volume 22, Issue 2, Pages 41–49
DOI: https://doi.org/10.47928/1726-9946-2022-22-2-41-49 (Mi aman57) 		 
MATHEMATICS

On some new sharp estimates of Toeplitz operator in some spaces of Hardy-Lizorkin type of analytic functions in the polydisk

R. F. Shamoyan

Bryansk State Technical University
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DOI: https://doi.org/10.47928/1726-9946-2022-22-2-41-49
Abstract: We provide some new sharp assertions on the action of Toeplitz $T\varphi$ operator in new $F_\alpha^{p,q}$ type spaces of analytic functions of several complex variables extending previously known assertions proved by various authors.
Keywords: polydisk, analytic function, Toeplitz operator, unit disk, Bergman spaces, Hardy spaces, Hardy-Lizorkin spaces.
Received: 06.05.2022
Revised: 06.06.2022
Accepted: 29.06.2022
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: R. F. Shamoyan, “On some new sharp estimates of Toeplitz operator in some spaces of Hardy-Lizorkin type of analytic functions in the polydisk”, Adyghe Int. Sci. J., 22:2 (2022), 41–49
Citation in format AMSBIB
\Bibitem{Sha22}
\by R.~F.~Shamoyan
\paper On some new sharp estimates of Toeplitz operator in some spaces of Hardy-Lizorkin type of analytic functions in the polydisk
\jour Adyghe Int. Sci. J.
\yr 2022
\vol 22
\issue 2
\pages 41--49
\mathnet{http://mi.mathnet.ru/aman57}
\crossref{https://doi.org/10.47928/1726-9946-2022-22-2-41-49}
\elib{https://elibrary.ru/item.asp?id=49206456}
\edn{https://elibrary.ru/IKNJTK}
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