Adyghe Int. Sci. J. Vol. 22, No 2. P. 41-49. ISSN 1726-9946

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DOI: https://doi.org/10.47928/1726-9946-2022-22-2-41-49

MATHEMATICS

MSC 32A10; 32A37

Original Article

On some new sharp estimates of Toeplitz operator in some spaces

of Hardy-Lizorkin type of analytic functions in the polydisk

Romi Fayzovich Shamoyan
Ph.D. (Phys. & Math.), Senior Researcher, Bryansk State Technical University, (Bryansk, Russia), ORCID: https://orcid.org/0000-0002-8415-9822, rsham@mail.ru

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

Acknowledgments: the author are thankful to the anonymous reviewer for his valuable remakes.

For 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. 2022. Vol. 22, No. 2. P. 41–49.
DOI: https://doi.org/10.47928/1726-9946-2022-22-2-41-49

The author has read and approved the final version of the manuscript.
Submitted 06.05.2022; approved after reviewing 06.06.2022; accepted for publication 29.06.2022.

© Shamoyan R. F., 2022

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