Bulletin of the Korean Mathematical Society (대한수학회보)

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MULTILINEAR CALDERÓN-ZYGMUND OPERATORS AND THEIR COMMUTATORS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT

  • Wang, Liwei (School of Mathematics and Physics Anhui Polytechnic University)
  • Received : 2019.12.29
  • Accepted : 2020.06.04
  • Published : 2020.11.30
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Abstract

In this paper, we establish the boundedness of the m-linear Calderón-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with λ-central BMO symbols are also considered. Finally, we prove that the multilinear commutators of Calderón-Zygmund singular integrals introduced by Pérez and Trujillo-Gonález are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.

Keywords

Acknowledgement

This work was financially supported by Anhui Provincial Natural Science Foundation 1908085MA19 and Pre-research Project of the NNSF of China 2019yyzr14.

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