A Class of Commutators for Multilinear Fractional Integrals in Nonhomogeneous Spaces

被引：0
|
作者：
Jiali Lian
Huoxiong Wu
机构：
[1] Xiamen University,School of Mathematical Sciences
来源：
Journal of Inequalities and Applications | / 2008卷
关键词：
Full Article; Fractional Integral; Publisher Note; Nonhomogeneous Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let [inline-graphic not available: see fulltext] be a nondoubling measure on [inline-graphic not available: see fulltext]. A class of commutators associated with multilinear fractional integrals and RBMO([inline-graphic not available: see fulltext]) functions are introduced and shown to be bounded on product of Lebesgue spaces with [inline-graphic not available: see fulltext].
引用
收藏
相关论文
共 50 条
  • [31] Generalized fractional integrals on generalized Morrey spaces
    Nakai, Eiichi
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (2-3) : 339 - 351
  • [32] BOUNDEDNESS OF MULTILINEAR COMMUTATORS OF CALDERON-ZYGMUND OPERATORS ON ORLICZ SPACES OVER NON-HOMOGENEOUS SPACES
    Fu, Xing
    Yang, Dachun
    Yuan, Wen
    TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (06): : 2203 - 2238
  • [33] Fractional Integrals on Variable Hardy–Morrey Spaces
    J. Tan
    J. Zhao
    Acta Mathematica Hungarica, 2016, 148 : 174 - 190
  • [34] FRACTIONAL INTEGRALS WITH VARIABLE KERNELS ON HARDY SPACES
    Zhang Pu1 Ding Yong21 Dept.of Information and Computing Science
    Dept. of Math.
    Applied Mathematics:A Journal of Chinese Universities, 2003, (04) : 461 - 466
  • [35] Fractional integrals with variable kernels on hardy spaces
    Zhang Pu
    Ding Yong
    Applied Mathematics-A Journal of Chinese Universities, 2003, 18 (4) : 461 - 466
  • [36] FRACTIONAL INTEGRALS ON Bσ-WEIGHTED MORREY SPACES
    Komori-Furuya, Yasuo
    Matsuoka, Katsuo
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (03): : 969 - 980
  • [37] Endpoint Estimates for Commutators of Fractional Integrals Associated to Operators with Heat Kernel Bounds
    Liu Xian-jun
    Li Wen-ming
    Yan Xue-fang
    Communications in Mathematical Research, 2017, 33 (01) : 73 - 84
  • [38] Generalized Fractional Integral Operators and Their Commutators with Functions in Generalized Campanato Spaces on Orlicz Spaces
    Shi, Minglei
    Arai, Ryutaro
    Nakai, Eiichi
    TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (06): : 1339 - 1364
  • [39] Boundedness of multilinear commutator of fractional integral inmorrey-herz spaces on homogeneous spaces
    Zhou Meng
    Shi Jianguo
    Shi Yanfang
    Huang Linjing
    PROCEEDINGS OF THE FIFTH INTERNATIONAL SYMPOSIUM ON TEST AUTOMATION & INSTRUMENTATION, VOLS 1 AND 2, 2014, : 554 - 558
  • [40] ESTIMATE FOR A CLASS OF MULTILINEAR FRACTIONAL INTEGRAL OPERATOR WITH ROUGH KERNEL
    Yunpin Wu (Ningbo University
    AnalysisinTheoryandApplications, 2010, 26 (04) : 359 - 366
12345