Resumen de Rough Marcinkiewicz integral operators on product spaces

Hussain Al-Qassem

• In this paper, we study the Marcinkiewicz integral operatorsM,h on the product space Rn×Rm.We prove thatM,h is bounded on Lp(Rn×Rm) (1 1. We also establish the optimality of our condition in the sense that the space B(0,0) q (Sn-1×Sm-1) cannot be replaced by B(0,r) ( 1 1) for any 1