Riesz Transform for the One-Dimensional (k,1)-Generalized Fourier Transform

被引：0

作者：

Ivanov, V. I. ^{[1
]}

机构：

[1] Tula State Univ, Tula 300012, Russia

来源：

MATHEMATICAL NOTES | 2023年 / 113卷 / 3-4期

基金：

俄罗斯科学基金会;

关键词：

weight function; generalized Fourier transform; Riesz transform;

D O I：

10.1134/S0001434623030057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the (k, 1)-generalized Fourier transform on the real line R, the Riesz transform is defined. For this transform, L-p-inequalities with power and piecewise power weights are proved for 1 < p < infinity.

引用

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页码：356 / 367

页数：12

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