Fractional maximal and integral operators in variable exponent Morrey spaces

被引:0
|
作者
Wang, Panwang [1 ]
Liu, Zongguang [2 ]
机构
[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China
[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源
ARMENIAN JOURNAL OF MATHEMATICS | 2019年 / 11卷 / 01期
关键词
fractional integral operator; Morrey spaces; spaces of Homogeneous type; LEBESGUE SPACES; POTENTIAL-OPERATORS; BOUNDEDNESS; SOBOLEV;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the boundedness of the fractional maximal operator and fractional integral operator on the variable exponent Morrey spaces defined over spaces (X, d, mu) of homogeneous type.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Generalized fractional integral operators on variable exponent Morrey spaces of an integral form
    T. Ohno
    T. Shimomura
    Acta Mathematica Hungarica, 2022, 167 : 201 - 214
  • [2] GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON VARIABLE EXPONENT MORREY SPACES OF AN INTEGRAL FORM
    Ohno, T.
    Shimomura, T.
    ACTA MATHEMATICA HUNGARICA, 2022, 167 (01) : 201 - 214
  • [3] Multilinear fractional integral operators on central Morrey spaces with variable exponent
    Wang, Hongbin
    Xu, Jingshi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [4] THE FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES WITH VARIABLE EXPONENT ON UNBOUNDED DOMAINS
    Ho, Kwok-Pun
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02): : 363 - 373
  • [5] Multilinear fractional integral operators on central Morrey spaces with variable exponent
    Hongbin Wang
    Jingshi Xu
    Journal of Inequalities and Applications, 2019
  • [6] Maximal and potential operators in variable exponent Morrey spaces
    Almeida, Alexandre
    Hasanov, Javanshir
    Samko, Stefan
    GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (02) : 195 - 208
  • [7] Multilinear Fractional Integral Operators on Morrey Spaces with Variable Exponent on Bounded Domain
    Wang Min
    Qu Meng
    Shu Li-sheng
    Ji You-qing
    Communications in Mathematical Research, 2015, 31 (03) : 253 - 260
  • [8] MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
    Guliyev, Vagif S.
    Hasanov, Javanshir J.
    Badalov, Xayyam A.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (01): : 41 - 61
  • [9] Boundedness of Maximal and Singular Operators in Morrey Spaces with Variable Exponent
    Kokilashvili, Vakhtang
    Meskhi, Alexander
    ARMENIAN JOURNAL OF MATHEMATICS, 2008, 1 (01): : 18 - 28
  • [10] GENERALIZED FRACTIONAL INTEGRAL OPERATORS AND FRACTIONAL MAXIMAL OPERATORS IN THE FRAMEWORK OF MORREY SPACES
    Sawano, Yoshihiro
    Sugano, Satoko
    Tanaka, Hitoshi
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (12) : 6481 - 6503