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

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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Bibliographic Details
Published in:Russian mathematics 2022, Vol.66 (1), p.46-52
Main Authors: Karapetyants, A. N., Smirnova, I. Yu
Format: Article
Language:English
Subjects:
Analytic functions
Functionals
Mathematical analysis
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary: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.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X22010042