A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces

被引：32
|
作者：
Sawano, Yoshihiro [1 ]
Sugano, Satoko [2 ]
Tanaka, Hitoshi [3 ]
机构：
[1] Kyoto Univ, Dept Math, Sakyo Ku, Kyoto 6068502, Japan
[2] Kobe City Coll Technol, Nishi Ku, Kobe, Hyogo 6512194, Japan
[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
BOUNDARY VALUE PROBLEMS | 2009年
关键词：
Morrey Space; Boundedness Property; Doubling Condition; Fractional Integral Operator; Dyadic Cube;
D O I：
10.1155/2009/835865
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show some inequalities for generalized fractional integral operators on generalized Morrey spaces. We also show the boundedness property of the generalized fractional integral operators on the predual of the generalized Morrey spaces. Copyright (C) 2009 Yoshihiro Sawano et al.
引用
收藏
页数：18
相关论文
共 50 条
  • [1] A Note on Generalized Fractional Integral Operators on Generalized Morrey Spaces
    Yoshihiro Sawano
    Satoko Sugano
    Hitoshi Tanaka
    [J]. Boundary Value Problems, 2009
  • [2] Generalized Fractional Integral Operators on Generalized Local Morrey Spaces
    Guliyev, V. S.
    Ismayilova, A. F.
    Kucukaslan, A.
    Serbetci, A.
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [3] CHARACTERIZATIONS FOR THE GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES
    Eridani
    Gunawan, Hendra
    Nakai, Eiichi
    Sawano, Yoshihiro
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02): : 761 - 777
  • [4] SOME INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON GENERALIZED MORREY SPACES
    Sugano, Satoko
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (04): : 849 - 865
  • [5] GENERALIZED FRACTIONAL INTEGRAL OPERATORS AND FRACTIONAL MAXIMAL OPERATORS IN THE FRAMEWORK OF MORREY SPACES
    Sawano, Yoshihiro
    Sugano, Satoko
    Tanaka, Hitoshi
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (12) : 6481 - 6503
  • [6] Multilinear fractional integral operators on generalized weighted Morrey spaces
    Hu, Yue
    Wang, Yueshan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [7] Multilinear fractional integral operators on generalized weighted Morrey spaces
    Yue Hu
    Yueshan Wang
    [J]. Journal of Inequalities and Applications, 2014
  • [8] Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces
    Sawano, Yoshihiro
    Shimomura, Tetsu
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2017, 36 (02): : 159 - 190
  • [9] Commutators of Calderón–Zygmund and generalized fractional integral operators on generalized Morrey spaces
    Ryutaro Arai
    Eiichi Nakai
    [J]. Revista Matemática Complutense, 2018, 31 : 287 - 331
  • [10] Commutators of Caldern-Zygmund and generalized fractional integral operators on generalized Morrey spaces
    Arai, Ryutaro
    Nakai, Eiichi
    [J]. REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (02): : 287 - 331
12345