Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces |
| |
作者单位: | CHEN Jie-cheng YU Xiao ZHANG Yan-dan WANG Hui Department of Mathematics,Zhejiang University,Hangzhou 310027,China |
| |
基金项目: | 国家自然科学基金
|
| |
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.
|
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 |
| |
Authors: | Jie-cheng Chen Xiao Yu Yan-dan Zhang Hui Wang |
| |
Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
| |
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) |
| |
Keywords: | parameterized Marcinkiewicz integral variable kernel Hardy-Sobolev apace L1 a-Dini condition |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |