On Interpolation of Cesàro Function Spaces with Polynomial Weight

For all cases of the parameters, we give a description of a real interpolation space for a pair of Cesàro spaces with power weight. We show that the result of their real interpolation is a Cesàro space with another power weight whose exponent is defined by the interpolation parameters.

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Publication Details

Journal
Siberian Mathematical Journal
Published
2025-03-01
DOI
https://doi.org/10.1134/s0037446625020090
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

On Interpolation of Cesàro Function Spaces with Polynomial Weight

Д. В. Прохоров
Siberian Mathematical Journal
Advanced Harmonic Analysis Research
article

On Interpolation of Cesàro Function Spaces with Polynomial Weight

Д. В. Прохоров
article en

Abstract

For all cases of the parameters, we give a description of a real interpolation space for a pair of Cesàro spaces with power weight. We show that the result of their real interpolation is a Cesàro space with another power weight whose exponent is defined by the interpolation parameters.

Siberian Mathematical JournalVol. 66(2)
Computing Center (RU), Far Eastern Branch of the Russian Academy of Sciences (RU)
Openalex Percentile: Top 92%
Advanced Harmonic Analysis Research
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On Interpolation of Cesàro Function Spaces with Polynomial Weight — Д. В. Прохоров · Siberian Mathematical Journal (2025) | TGRS Research Map | TGRS