Some boundedness results for $\psi $-Riemann–Liouville and $\psi $-Riemann–Liouville tempered fractional integrals in ${\mathbb {R}}$

IF 0.8 Q2 MATHEMATICS

Advances in Operator Theory Pub Date : 2024-01-18 DOI:10.1007/s43036-023-00310-9

César E. Torres Ledesma, Jesús A. Rodríguez, Felipe A. Zuñiga

引用次数: 0

Abstract

In this paper, using Hardy–Littlewood maximal function, we deal with the boundedness of the $\psi $-Riemann–Liouville in Lebesgue and weighted Lebesgue space in the real line. Moreover, we consider the boundedness of $\psi $-Riemann–Liouville tempered fractional integrals in weighted Lebesgue space in the real line.

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$${mathbb {R}}$ 中 $$\psi $$-Riemann-Liouville 和 $$\psi $$-Riemann-Liouville 钢化分数积分的一些有界性结果

本文利用哈代-利特尔伍德（Hardy-Littlewood）最大函数，处理了实线上 Lebesgue 空间和加权 Lebesgue 空间中的$\psi$-Riemann-Liouville 有界性问题。此外，我们还考虑了实线上加权 Lebesgue 空间中的$\psi $-Riemann-Liouville有界分数积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Operator Theory MATHEMATICS-

CiteScore

1.60

自引率

0.00%

发文量

Some boundedness results for \(\psi \)-Riemann–Liouville and \(\psi \)-Riemann–Liouville tempered fractional integrals in \({\mathbb {R}}\)

Abstract