θ-型Calderόn-Zygmund算子交换子的新加权估计

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  • Department of Mathematics, Jinzhong College of Information, Jinzhong 030800, China
XUE Feng-yu (1997-), male, native of Datong, Shanxi, teaching assistant of Jinzhong College of Information, engages in harmonic analysis.
XUE Feng-yu (1997-), male, native of Datong, Shanxi, teaching assistant of Jinzhong College of Information, engages in harmonic analysis.

收稿日期: 2025-06-05

  网络出版日期: 2026-06-30

基金资助

Heilongjiang Natural Science Foundation Joint Key Project (Grant No. ZL2024A001).

New Weighted Estimates for Commutators of θ-Type Calderόn-Zygmund Operator

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  • Department of Mathematics, Jinzhong College of Information, Jinzhong 030800, China
XUE Feng-yu (1997-), male, native of Datong, Shanxi, teaching assistant of Jinzhong College of Information, engages in harmonic analysis.

Received date: 2025-06-05

  Online published: 2026-06-30

Supported by

Heilongjiang Natural Science Foundation Joint Key Project (Grant No. ZL2024A001).

摘要

In this paper, we investigate the boundedness of commutators generated by the θ-Calderόn-Zygmund operator with symbol function belonging to two kinds of weighted Campanato spaces. Specifically, we show that the commutators of the θ-type Calderόn-Zygmund operator are bounded from weighted Lebesgue spaces to weighted Campanato spaces when symbol function belongs to weighted Lipschitz spaces; we also show that the commutators are bounded from weighted Morrey spaces to weighted Campanato spaces when symbol function belongs to a certain weighted Campanato space.

本文引用格式

薛凤宇 . θ-型Calderόn-Zygmund算子交换子的新加权估计[J]. 数学季刊, 2026 , 41(2) : 207 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2026.02.009

Abstract

In this paper, we investigate the boundedness of commutators generated by the θ-Calderόn-Zygmund operator with symbol function belonging to two kinds of weighted Campanato spaces. Specifically, we show that the commutators of the θ-type Calderόn-Zygmund operator are bounded from weighted Lebesgue spaces to weighted Campanato spaces when symbol function belongs to weighted Lipschitz spaces; we also show that the commutators are bounded from weighted Morrey spaces to weighted Campanato spaces when symbol function belongs to a certain weighted Campanato space.
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