Improved Hardy inequalities for Grushin operators

Improved Hardy inequalities for Grushin operators
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DOI:
10.1016/j.jmaa.2014.11.010
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发表时间:
2015-04
影响因子:
1.3
通讯作者:
Qiaohua Yang;Dan Su;Yinying Kong
Qiaohua Yang;Dan Su;Yinying Kong
中科院分区:
数学3区
文献类型:
--
作者:
Qiaohua Yang;Dan Su;Yinying Kong

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证明了Grushin算子Δ x+(γ+ 1)2的哈代不等式|X| 2 γ Δ y在包含原点的有界域Ω上可以通过增加余项来改进,例如Brezis-Vázquez,Vazquez-Zuazua和Filippas-Tertikas的改进。
We show that the Hardy inequality for Grushin operators like Δ x+(γ+ 1) 2| x| 2 γ Δ y on a bounded domain Ω containing the origin can be refined by adding remainder terms such as the improvement of Brezis–Vázquez, Vazquez–Zuazua and Filippas–Tertikas.