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

Author

Listed:
  • Yongliang Zhou

    (School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Dunyan Yan

    (School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China)

  • Mingquan Wei

    (School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China)

Abstract

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.

Suggested Citation

  • Yongliang Zhou & Dunyan Yan & Mingquan Wei, 2020. "Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1455-:d:406297
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    Cited by:

    1. Yu Yan & Yiming Wang & Yiming Lei, 2022. "A p Weights in Directionally ( γ , m ) Limited Space and Applications," Mathematics, MDPI, vol. 10(19), pages 1-13, September.

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