Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (1): 50-59.

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The Boundedness for Multilinear Commutators of One-Sided Operators on Triebel-Lizorkin Spaces

Cheng Xin1,2(),Zhang Jing1,*()   

  1. 1. School of Mathematics and Statistics, Yili Normal University, Xinjiang Yining 835000
    2. School of Mathematical and Statistics, Ankang University, Shanxi Ankang 725000
  • Received:2023-06-22 Revised:2023-09-28 Online:2024-02-26 Published:2024-01-10
  • Supported by:
    Natianal Natural Science Foundation of China(12361019);National Science Foundation of Xinjiang Province(2021D01C463);YiLi Normal University's "High-level Talents" Program of Academic Integrity(YSXSJS22001)

Abstract:

In this paper, we study the boundedness of multilinear commutators generated by singular integral operators, discrete square function, Weyl fractional integrals with Lipschitz functions from weighted Lebesgue to weighted Triebel-Lizorkin spaces by extrapolation of weights in the sense of one-side.

Key words: Multilinear commutators, One-sided operators, One-sided weights, One-sided Triebel-Lizorkin spaces

CLC Number: 

  • O174.2
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