Sharp conditions for weighted integrability of q-Dunkl and Fourier transforms

We obtain sufficient conditions for the weighted integrability of the -Dunkl Fourier transforms of functions from generalized integral Lipschitz classes.In the 2 case, we prove the sharpness of these conditions.

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Publication Details

Journal
Problemy analiza
Published
2025-11-01
DOI
https://doi.org/10.15393/j3.art.2025.17930
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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article

Sharp conditions for weighted integrability of q-Dunkl and Fourier transforms

С. С. Волосивец
Problemy analiza
Mathematical Analysis and Transform Methods
article

Sharp conditions for weighted integrability of q-Dunkl and Fourier transforms

С. С. Волосивец
article en

Abstract

We obtain sufficient conditions for the weighted integrability of the -Dunkl Fourier transforms of functions from generalized integral Lipschitz classes.In the 2 case, we prove the sharpness of these conditions.

Problemy analizaVol. 32(3)
Openalex Percentile: Top 53%
Mathematical Analysis and Transform Methods
DOIOpen Access PDFOpenAlex
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Sharp conditions for weighted integrability of q-Dunkl and Fourier transforms — С. С. Волосивец · Problemy analiza (2025) | TGRS Research Map | TGRS