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.
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页码：356 / 367
页数：12
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