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L^p Boundedness of Marcinkiewicz Integrals with H^1 Kernels

L^p Boundedness of Marcinkiewicz Integrals with H^1 Kernels
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摘要 We establish the L^p boundedness of Marcinkiewicz integral operators with kernels in theHardy 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. We establish the L^p boundedness of Marcinkiewicz integral operators with kernels in theHardy 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.
作者 Leslie C.CHENG
机构地区 Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第6期1031-1038,共8页 数学学报（英文版）
关键词 Marcinkiewicz integrals Hardy space finite type Marcinkiewicz integrals, Hardy space, finite type
分类号 O172.2 [理学—基础数学]
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参考文献18

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Acta Mathematica Sinica,English Series
2008年 第6期

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