Abstract:

With the aid of the methods of the function decompositions and the conditions of the geometrically and upper doubling, the boundedness of CalderónZygmund operators and its commutators generated by RBMO(μ) functions was obtained on Morrey spaces associated with non\|homogeneous metric measure spaces. Moreover, as p=n/β, it was proved that commutators generated by CalderónZygmund operators and Lipschitz functions are bounded from the Morrey spaces into RBMO(μ) spaces.

Key words: CalderónZygmund operator, commutator, RBMO(μ) function, metric measure space, Morrey space