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Characterization of Weighted Mixed Norm Spaces of Analytic Functions Defined in Terms of Conditions on Fourier Coefficients

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Abstract

This paper analyzes a certain class of functional sequences and applies the results to a description of functional spaces of analytic functions with a mixed norm on a unit disk of the complex plane, defined in terms of conditions on Fourier coefficients.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-51-46003-a. The first author carried out his work at the Regional Scientific and Educational Mathematical Center, agreement no. 075-02-2022-893 of the Ministry of Science and Education of Russia.

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Authors and Affiliations

  1. Southern Federal University, 344006, Rostov-on-Don, Russia

    A. N. Karapetyants

  2. Don State Technical University, 344010, Rostov-on-Don, Russia

    I. Yu. Smirnova

Authors
  1. A. N. Karapetyants
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  2. I. Yu. Smirnova
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Corresponding authors

Correspondence to A. N. Karapetyants or I. Yu. Smirnova.

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The authors declare that they have no conflicts of interest.

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Translated by V. Arutyunyan

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Karapetyants, A.N., Smirnova, I.Y. Characterization of Weighted Mixed Norm Spaces of Analytic Functions Defined in Terms of Conditions on Fourier Coefficients. Russ Math. 66, 46–52 (2022). https://doi.org/10.3103/S1066369X22010042

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