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Letbe a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition. In this setting, the author proves that the  θ -type Calderón-Zygmund operatoris bounded on the weighted Lebesgue space and the weighted Morrey space. Furthermore, the boundedness of the commutatorgenerated byandon weighted weak Lebesgue space and on weighted weak Morrey space is also obtained.

Weighted estimates for θ -type Calderón-Zygmund operator and its commutator on metric measure spaces