[Inégalités optimales de type de Hardy avec poids et inégalités de type Hardy–Sobolev sur les groupes de Carnot polarisables]
Dans cette Note nous établissons des inégalités optimales de type de Hardy avec poids dans le cas d'indices p plus généraux sur des groupes de Carnot polarisables ; nos résultats contiennent ceux obtenus récemment par Kombe. À partir des résultats précédemment établis nous démontrons une inégalité de type Hardy–Sobolev avec poids.
In this Note, we establish sharp weighted Hardy type inequalities with a more general index p on polarizable Carnot groups, which include Kombe's recent results; then a weighted Hardy–Sobolev type inequality is obtained by using previous inequalities.
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@article{CRMATH_2008__346_23-24_1231_0,
author = {Wang, Jialin and Niu, Pengcheng},
title = {Sharp weighted {Hardy} type inequalities and {Hardy{\textendash}Sobolev} type inequalities on polarizable {Carnot} groups},
journal = {Comptes Rendus. Math\'ematique},
pages = {1231--1234},
publisher = {Elsevier},
volume = {346},
number = {23-24},
year = {2008},
doi = {10.1016/j.crma.2008.10.009},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.crma.2008.10.009/}
}
TY - JOUR AU - Wang, Jialin AU - Niu, Pengcheng TI - Sharp weighted Hardy type inequalities and Hardy–Sobolev type inequalities on polarizable Carnot groups JO - Comptes Rendus. Mathématique PY - 2008 SP - 1231 EP - 1234 VL - 346 IS - 23-24 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2008.10.009/ DO - 10.1016/j.crma.2008.10.009 LA - en ID - CRMATH_2008__346_23-24_1231_0 ER -
%0 Journal Article %A Wang, Jialin %A Niu, Pengcheng %T Sharp weighted Hardy type inequalities and Hardy–Sobolev type inequalities on polarizable Carnot groups %J Comptes Rendus. Mathématique %D 2008 %P 1231-1234 %V 346 %N 23-24 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2008.10.009/ %R 10.1016/j.crma.2008.10.009 %G en %F CRMATH_2008__346_23-24_1231_0
Wang, Jialin; Niu, Pengcheng. Sharp weighted Hardy type inequalities and Hardy–Sobolev type inequalities on polarizable Carnot groups. Comptes Rendus. Mathématique, Tome 346 (2008) no. 23-24, pp. 1231-1234. doi : 10.1016/j.crma.2008.10.009. https://www.numdam.org/articles/10.1016/j.crma.2008.10.009/
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Cité par 8 documents. Sources : Crossref
☆ This work was supported by the National Natural Science Foundation of China (Grant No. 10871157) and Keji Chuangxin Jijin of Northwestern Polytechnical University, No. 2007KJ01012.
