Hardy-Rellich Type Inequalities Associated with Dunkl Operators

被引:0
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作者
Li TANG [1 ]
Haiting CHEN [1 ]
Shoufeng SHEN [1 ]
Yongyang JIN [1 ]
机构
[1] Department of Applied Mathematics, Zhejiang University of Technology
基金
中国国家自然科学基金;
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中图分类号
O178 [不等式及其他];
学科分类号
摘要
In this paper, the authors obtain the Dunkl analogy of classical L;Hardy inequality for p>N+2γ with sharp constant((p-N-2γ)/p);, where 2γ is the degree of weight function associated with Dunkl operators, and L pHardy inequalities with distant function in some G-invariant domains. Moreover they prove two Hardy-Rellich type inequalities for Dunkl operators.
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页码:281 / 294
页数:14
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