Lp boundedness of Marcinkiewicz integrals with H1 kernels

被引：0
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作者：
Leslie C. Cheng
机构：
[1] Bryn Mawr College,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2008年 / 24卷
关键词：
Marcinkiewicz integrals; Hardy space; finite type; 42B25; 42B30;
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摘要：
We establish the Lp boundedness of Marcinkiewicz integral operators with kernels in the Hardy space on a compact submanifold of finite type. Previously such boundedness properties were obtained when the submanifold is a sphere. Our result shows that what matters is not the symmetry, but a certain type of curvature property of the submanifold.
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