Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces

被引:1
作者
Zhou, Yongliang [1 ]
Yan, Dunyan [1 ]
Wei, Mingquan [2 ]
机构
[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
关键词
oscillatory singular integral; commutator; weighted; central Morrey space;
D O I
10.3390/math8091455
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish the boundedness of a class of oscillatory singular integral operators with rough kernel on central Morrey spaces. Moreover, the boundedness for each of their commutators on weighted central Morrey spaces was also obtained. We generalized some existing results.
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页数:16
相关论文
共 28 条
  • [1] ADAMS DR, 1975, DUKE MATH J, V42, P765, DOI 10.1215/S0012-7094-75-04265-9
  • [2] Burenkov V.I., 2012, MATH J, V2, P52
  • [3] Chen YP, 2015, T AM MATH SOC, V367, P1585
  • [4] Lp Bounds for the Commutators of Oscillatory Singular Integrals with Rough Kernels
    Chen, Yanping
    Zhu, Kai
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [5] Chiarenza F., 1987, Rend. Mat. Appl, V7, P273
  • [6] Weighted L(p)-boundedness for higher order commutators of oscillatory singular integrals
    Ding, Y
    Lu, SZ
    [J]. TOHOKU MATHEMATICAL JOURNAL, 1996, 48 (03) : 437 - 449
  • [7] Grafakos L, 1998, INDIANA U MATH J, V47, P455
  • [8] Grafakos L., 2004, CLASSICAL MODERN FOU
  • [9] Guliyev VS, 2013, AZERBAIJAN J MATH, V3, P79
  • [10] Bilinear fractional integral operators on Morrey spaces
    He, Qianjun
    Yan, Dunyan
    [J]. POSITIVITY, 2021, 25 (02) : 399 - 429