| Abstrakt: |
In this paper we give a characterization of two-weighted inequalities for maximal, singular operators and their commutators in generalized weighted Morrey spaces Mp,' ! (Rn). We prove the boundedness of maximal operator M and maximal commutators [M, b] from the spaces Mp,'1 ! 1 (Rn) to the spaces Mp,'2 ! 2 (Rn), where 1 < p < 1, 0 < < 1 and (!1, !2) 2 e Ap(Rn). We also prove the boundedness of the Calderón-Zygmund singular operators T and their commutators [b, T] from Mp,'1 ! 1 (Rn) to Mp,'2 ! 2 (Rn). Finally we give generalized weighted Morrey a priori estimates as applications of our results. [ABSTRACT FROM AUTHOR] |
