Multiple parametric Marcinkiewicz integrals with mixed homogeneity along surfaces

被引：0
|
作者：
Jia-wei Shen
Shao-yong He
Jie-cheng Chen
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Huzhou University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2023年 / 38卷
关键词：
parametric Marcinkiewicz integrals; rough kernels; mixed homogeneity; product spaces; 42B20; 42B25; 47B38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the multiple parametric Marcinkiewicz integral operators with mixed homogeneity along surfaces are studied. The Lp-mapping properties for such operators are obtained under the rather weakened size conditions on the integral kernels both on the unit sphere and in the radial direction. The main results essentially improve and extend certain previous results.
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页码：413 / 428
页数：15
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