A Note on the Generalized Marcinkiewicz Integral Operators with Rough Kernels

National Natural Science Foundation of China [G11071200]; Natural Science Foundation of Fujian Province of China [2010J01013]In this paper, we study the generalized Marcinkiewicz integral operators M-Omega,M-r on the product space R-n x R-m. Under the condition that Omega is a function in certain block spaces, which is optimal in some senses, the boundedness of such operators from Triebel-Lizorkin spaces to L-p spaces is obtained