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

XUE Feng-yu

doi:10.13371/j.cnki.chin.q.j.m.2026.02.009

Chinese Quarterly Journal of Mathematics >

2026 , Vol. 41 >Issue 2: 207 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2026.02.009

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).

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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.

Key words： θ-type Calder?n-Zygmund operator; Weighted Campanato space; Commutator; Weighted Morrey space

Cite this article

XUE Feng-yu . New Weighted Estimates for Commutators of θ-Type Calderόn-Zygmund Operator[J]. Chinese Quarterly Journal of Mathematics, 2026 , 41(2) : 207 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2026.02.009

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