In this paper, we study the generalized Marcinkiewicz integral operators MΩ,r on the product space Rn ×Rm. Under the condition that Ω is a function in certain block spaces, which is optimal in some senses, the ...In this paper, we study the generalized Marcinkiewicz integral operators MΩ,r on the product space Rn ×Rm. Under the condition that Ω is a function in certain block spaces, which is optimal in some senses, the boundedness of such operators from Triebel-Lizorkin spaces to Lp spaces is obtained.展开更多
基金Supported by National Natural Science Foundation of China (Grant No. G11071200)Natural Science Foundation of Fujian Province of China (Grant No. 2010J01013)
文摘In this paper, we study the generalized Marcinkiewicz integral operators MΩ,r on the product space Rn ×Rm. Under the condition that Ω is a function in certain block spaces, which is optimal in some senses, the boundedness of such operators from Triebel-Lizorkin spaces to Lp spaces is obtained.
