关键词: θ-type Calder?n-Zygmund operator, Weighted Campanato space, Commutator, Weighted Morrey space

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