| Weighted Norm Inequalities for Potential Type Operators |
| Received:July 24, 2007 Revised:November 22, 2007 |
| Key Words:
potential type operators weight maximal function.
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| Fund Project:the Natural Science Foundation of Hebei Province (No.08M001) and the National Natural Science Foundation of China (Nos.10771049,60773174). |
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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 $T_{\Phi}$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.05.016 |
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