Boundedness of the commutator of Marcinkiewicz integral with rough variable kernel期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Boundedness of the commutator of Marcinkiewicz integral with rough variable kernel

Authors:	Yan Ping Chen

Institution:	(1) Department of Mathematics and Mechanics, Applied Science School, University of Science and Technology of Beijing, Beijing, 100083, P. R. China

Abstract:	In this paper the author proves that the commutator of the Marcinkiewicz integral operator with rough variable kernel is bounded from the homogeneous Sobolev space $\dot L_\gamma ^2$ (ℝⁿ) to the Lebesgue space L ²(ℝⁿ), which is a substantial improvement and extension of some known results. The research is supported by NSF of China (Grant Nos. 10571015 and 10826046) and SRFDP of China (Grant No. 20050027025)

Keywords:	commutator Marcinkiewicz integral variable kernel BMO Sobolev space spherical harmonic function
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