CALDERON-ZYGMUND OPERATORS WITH KERNELS OF DINI'S TYPE AND THEIR MULTILINEAR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES

In this paper, we study the boundedness of the operators T and T-(b) over right arrow on generalized weighted Morrey spaces M-p,M-phi(w) with the weight function w belonging to Muckenhoupt's class A(p)(R-n). We find the sufficient conditions on the pair ((phi(1), (phi(2)) with (b) over right arrow is an element of BMOm(R-n) and w is an element of A(p)(R-n) which ensures the boundedness of the operators T and T-(b) over right arrow from M-p,M-phi 1(w) to M-p,M-phi 2(w) for 1 < p < infinity.