Erdelyi-Kober fractional integral operators on ball Banach function spaces

被引:19
|
作者
Ho, Kwok-Pun [1 ]
机构
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China
来源
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2021年 / 145卷
关键词
Erdelyi-Kober fractional integral; amalgam spaces; Morrey space; Banach function space; MORREY SPACES; EXTRAPOLATION; AMALGAMS; KERNELS; LP;
D O I
10.4171/RSMUP/72
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish the boundedness of the Erdelyi-Kober fractional integral operators on ball Banach function spaces. In particular, it gives the boundedness of the Erdelyi-Kober fractional integral operators on amalgam spaces and Morrey spaces.
引用
收藏
页码:93 / 106
页数:14
相关论文
共 50 条
  • [1] Integral inequalities involving generalized Erdelyi-Kober fractional integral operators
    Baleanu, Dumitru
    Purohit, Sunil Dutt
    Prajapati, Jyotindra C.
    OPEN MATHEMATICS, 2016, 14 : 89 - 99
  • [2] Composition of Erdelyi-Kober fractional operators
    Galué, L
    Kalla, SL
    Tuan, VK
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 9 (03) : 185 - 196
  • [3] On Erdelyi-Kober Fractional Operator and Quadratic Integral Equations in Orlicz Spaces
    Metwali, Mohamed M. A.
    Alsallami, Shami A. M.
    MATHEMATICS, 2023, 11 (18)
  • [4] Explicit solutions of fractional integral and differential equations involving Erdelyi-Kober operators
    Al-Saqabi, Bader
    Kiryakova, Virginia S.
    Applied Mathematics and Computation (New York), 1998, 95 (01): : 1 - 13
  • [5] GENERALISATION OF ERDELYI-KOBER OPERATORS
    LOWNDES, JS
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1970, 17 (DEC) : 139 - &
  • [6] Explicit solutions of fractional integral and differential equations involving Erdelyi-Kober operators
    Al-Saqabi, B
    Kiryakova, VS
    APPLIED MATHEMATICS AND COMPUTATION, 1998, 95 (01) : 1 - 13
  • [7] ERDELYI-KOBER FRACTIONAL DIFFUSION
    Pagnini, Gianni
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (01) : 117 - 127
  • [8] Analysis of nonlinear integral equations with Erdelyi-Kober fractional operator
    Wang, JinRong
    Dong, XiWang
    Zhou, Yong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (08) : 3129 - 3139
  • [9] Certain Inequalities Involving Generalized Erdelyi-Kober Fractional q-Integral Operators
    Agarwal, Praveen
    Salahshour, Soheil
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [10] Generalized erdelyi-kober fractional q-integral operator
    Galue, Leda
    KUWAIT JOURNAL OF SCIENCE & ENGINEERING, 2009, 36 (2A): : 21 - 34