Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SOME ESTIMATES FOR GENERALIZED COMMUTATORS OF MULTILINEAR CALDERÓN-ZYGMUND OPERATORS

  • Honghai Liu (School of Mathematics and Information Science Henan Polytechnic University) ;
  • Zengyan Si (School of Mathematics and Information Science Henan Polytechnic University) ;
  • Ling Wang (School of Mathematics and Information Science Henan Polytechnic University)
  • Received : 2022.04.21
  • Accepted : 2022.07.15
  • Published : 2023.03.31
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Abstract

Let T be an m-linear Calderón-Zygmund operator. $T_{{\vec{b}S}}$ is the generalized commutator of T with a class of measurable functions {bi}∞i=1. In this paper, we will give some new estimates for $T_{{\vec{b}S}}$ when {bi}∞i=1 belongs to Orlicz-type space and Lipschitz space, respectively.

Keywords

Acknowledgement

This work was supported by Natural Science Foundation of Henan (No.232300421142; No.202300410184), the Key Research Project for Higher Education in Henan Province (No.19A110017) and the Fundamental Research Funds for the Universities of Henan Province (No.NSFRF200329).

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