Chinese Quarterly Journal of Mathematics ›› 2026, Vol. 41 ›› Issue (2): 207-220.doi: 10.13371/j.cnki.chin.q.j.m.2026.02.009
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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
CLC Number:
O174.2
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.
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URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2026.02.009
https://sxjk.magtechjournal.com/EN/Y2026/V41/I2/207