Some boundedness results for Ψ-Riemann-Liouville and Ψ-Riemann-Liouville tempered fractional integrals in R

被引：0
|
作者：
Ledesma, Cesar E. Torres [1 ]
Rodriguez, Jesus A. [2 ]
Zuniga, Felipe A. [3 ]
机构：
[1] Univ Nacl Trujillo, Fac Ciencias Fis & Matemat, Grp Invest Calculo fraccionario & aplicac Inst Inv, Ave Juan Pablo 2 s-n, Trujillo, Peru
[2] Univ Nacl Trujillo, Dept Matemat, Grp Invest Calculo fraccionario & aplicac, Ave Juan Pablo 2 s-n, Trujillo, Peru
[3] Univ Nacl Trujillo, Escuela Academ Profes Matemat, Ave Juan Pablo 2 s-n, Trujillo, Peru
来源：
ADVANCES IN OPERATOR THEORY | 2024年 / 9卷 / 02期
关键词：
psi-Riemann-Liouville fractional integrals; psi-Riemann-Liouville tempered fractional integrals; Hardy-Littlewood; Maximal function; INEQUALITIES;
D O I：
10.1007/s43036-023-00310-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：16
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