| Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces |
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| 作者单位： | CHEN Jie-cheng YU Xiao ZHANG Yan-dan WANG Hui Department of Mathematics，Zhejiang University，Hangzhou 310027，China |
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| 基金项目： | 国家自然科学基金
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| 摘 要： | Let α≥ 0 and 0 〈 ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μΩ,α^ρ with variable kernels on Sobolev spaces Lα^ρ and HardySobolev spaces Hα^ρ is established.
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| 关 键 词： | Marcinkiewicz积分 参数化 变量核心 Hardy-Sobolev空间 |
Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces |
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| Authors: | Jie-cheng Chen Xiao Yu Yan-dan Zhang Hui Wang |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | Let α ≥ 0 and 0 < ρ ≤ n/2, the boundedness of hypersingular parameterized Marcinkiewicz integrals μ
Ω, α
ρ
with variable kernels on Sobolev spaces L
α
p
and Hardy-Sobolev spaces H
α
p
is established.
Supported by the National Natural Science Foundation of China (10571156; 10871173) |
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| Keywords: | parameterized Marcinkiewicz integral variable kernel Hardy-Sobolev apace L1 a-Dini condition |
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