JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (12): 130-141.doi: 10.6040/j.issn.1671-9352.0.2023.432

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Estimates of multilinear commutators of strongly singular Calderón-Zygmund operators on Campanato Spaces

QIANG Peipei, TAO Shuangping*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2025-12-19

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Abstract: This paper studies the mappings properties of the multilinear commutators generated by the multilinear strongly singular Calderón-Zygmund operators and Lipschitz functions. It is proved that the multilinear commutators T(→overb) of the strongly singular Calderón-Zygmund operators is bounded from Lebesgue spaces to Campanato spaces under some certain conditions.

Key words: multilinear strongly singular Calderón-Zygmund operators, commutator, Lipschitz spaces, Campanato spaces

CLC Number: 

  • O174
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