In this paper we give a characterization of two-weighted inequalities for singular operators and their commutators in generalized weighted Morrey spaces on spaces of homogeneous type Mp,?? (X). We prove the boundedness of the Calder?n-Zygmund singular operators T and their commutators b,T from the spaces Mp,?1??1 (X)to the spaces Mp,?2??2 (X), where 1< p < ? ,0 < ? < 1 and (?1,?2) ? ?p (X). Finally we give some examples for singular integral operators on Mp,?? (X) as applications of our results.
Aydoğdu et al. (Wed,) studied this question.
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