| 位势型算子的加权不等式 |
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| 引用本文： | 李文明,齐金云,闫雪芳.位势型算子的加权不等式[J].数学研究及应用,2009,29(5):895-900. |
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| 作者姓名： | 李文明 齐金云 闫雪芳 |
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| 作者单位： | 河北师范大学数学与信息科学学院, 河北 石家庄 050016;廊坊师范学院数学系, 河北 廊坊065000;河北师范大学数学与信息科学学院, 河北 石家庄 050016 |
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| 基金项目： | 河北省自然科学基金(No.08M001), 国家自然科学基金(Nos.10771049,60773174). |
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| 摘 要： | Let Ф be a non-negative locally integrable function on R^n and satisfy some weak growth conditions, define the potential type operator TФ by TФf（x）=∫R^n Ф（x-y）f（y）dy. The aim of this paper is to give several strong type and weak type weighted norm inequalities for the potential type operator TФ.
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| 关 键 词： | 加权模不等式 生长条件 积函数 镝 |
| 收稿时间： | 2007/7/24 0:00:00 |
| 修稿时间： | 2007/11/22 0:00:00 |
Weighted Norm Inequalities for Potential Type Operators |
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| LI Wen Ming,QI Jin Yun and YAN Xue Fang.Weighted Norm Inequalities for Potential Type Operators[J].Journal of Mathematical Research with Applications,2009,29(5):895-900. |
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| Authors: | LI Wen Ming QI Jin Yun and YAN Xue Fang |
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| Institution: | College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China;Department of Mathematics, Langfang Normal College, Hebei 065000, China;College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China |
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| Abstract: | Let $\Phi$ be a non-negative locally integrable function on ${\mathbb{R}}^n$ and satisfy some weak growth conditions, define the potential type operator $T_{\Phi}$ by $$T_{\Phi}f(x)=\int_{{\mathbb{R}}^n} \Phi(x-y)f(y)\d y.$$ The aim of this paper is to give several strong type and weak type weighted norm inequalities for the potential type operator $T_{\Phi}$. |
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| Keywords: | potential type operators weight maximal function |
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