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arXiv · 1504.01447

Propri\'et\'e de convergence de certaines familles de fonctions finement harmoniques et r\'egularit\'e du noyau de Green d'un domaine fin

Abderrahim Aslimani·Mohamed El Kadiri
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Abstract

We prove a convergence property for some families of finely harmonic functions on a fine domain $U$ of $\RR^n$ ($n\ge 2$), and we apply it to prove some regularity of the fine Green kernel of $U$.

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Abderrahim Aslimani, Mohamed El Kadiri. 2015-04-07. Propri\'et\'e de convergence de certaines familles de fonctions finement harmoniques et r\'egularit\'e du noyau de Green d'un domaine fin. https://arxiv.org/abs/1504.01447

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