The boundedness and compactness of weighted composition operators from Dirichlet type spaces to weighted type spaces on the unit ball of Cn are characterized in this paper. Mathematics subject classification (2010): Primary 47B38; Secondary 46E15.

The boundedness of the difference of two weighted composition operators from weighted Bergman spaces to weighted-type spaces in the unit ball are investigated in this paper.

In this paper, we first introduce some new Morrey-type spaces containing generalized Morrey space and weighted Morrey space with two weights as special cases. Then we give the weighted strong type and weak type estimates for fractional integral operators [Formula: see text] in these new Morrey-type spaces. Furthermore, the weighted strong type estimate and endpoint estimate of linear commutator...