关键词: Marcinkiewicz积分, 交换子, 混合Morrey空间, 加权有界性

Abstract: By using the estimation of A(p,q) and A_p and the function decomposition method, and with the aid of to the weighted estimation on the L^p spaces, we proved the weighted boundedness of the Riesz potential and Marcinkiewicz integral on mixed Morrey spaces, and obtained the weighted boundedness of BMO commutators of Marcinkiewicz integral.

Key words: Marcinkiewicz integral, commutator, mixed Morrey space, weighted boundedness