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A rough multiple Marcinkiewicz integral along continuous surfaces
Wu, HX
刊名http://dx.doi.org/10.2748/tmj/1182180732
2007-06
关键词MAXIMAL FUNCTIONS SQUARE FUNCTIONS PRODUCT-SPACES OPERATORS BOUNDEDNESS BLOCKS KERNELS
英文摘要By means of the method of block decompositions for kernel functions and some delicate estimates on Fourier transforms, the L-P (R-m x R-n x R)-boundedness of the multiple Marcinkiewicz integral is established along a continuous surface with rough kernel for some p > 1. The condition on the integral kernel is the best possible for the L-2-boundedness of the multiple Marcinkiewicz integral operator.
语种英语
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/66067]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
Wu, HX. A rough multiple Marcinkiewicz integral along continuous surfaces[J]. http://dx.doi.org/10.2748/tmj/1182180732,2007.
APA Wu, HX.(2007).A rough multiple Marcinkiewicz integral along continuous surfaces.http://dx.doi.org/10.2748/tmj/1182180732.
MLA Wu, HX."A rough multiple Marcinkiewicz integral along continuous surfaces".http://dx.doi.org/10.2748/tmj/1182180732 (2007).
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