A note on the generalized Marcinkiewicz integral operators with rough kernels |
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| Authors: | Yu Rong Wu Huo Xiong Wu |
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| Institution: | 1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, P. R. China
2. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P. R. China
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| Abstract: | In this paper, we study the generalized Marcinkiewicz integral operators M Ω,r on the product space ? n × ? m . 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 L p spaces is obtained. |
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| Keywords: | Marcinkiewicz integral Triebel-Lizorkin space vector-valued multiplier theorem rough kernel product space |
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