Strongly Singular Calder´on-Zygmund Operators and their Commutators

Authors

  • Yan Lin
  • Shanzhen Lu

Keywords:

Strongly singular Calder´on-Zygmund operator, BMO, LMO, Commutator, Morrey space.

Abstract

In this paper, the authors obtain two kinds of endpoint estimates for strongly singular Calder´on-Zygmund operators. Moreover, the pointwise estimate for the sharp maximal function of commutators generated by strongly singular Calder´on-Zygmund operators and BMO functions is also established. As its applications, the boundedness of the commutators on Morrey type spaces will be obtained.

Keywords: Strongly singular Calder´on-Zygmund operator, BMO, LMO, Commutator, Morrey space.

MR(2000) Subject Classification. 42B20, 42B35

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Published

2025-05-18

How to Cite

Yan Lin, & Shanzhen Lu. (2025). Strongly Singular Calder´on-Zygmund Operators and their Commutators. Jordan Journal of Mathematics and Statistics, 1(1), 31–49. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1208

Issue

Vol. 1 No. 1 (2008)

Section

Articles