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arxiv: 1504.01447 · v1 · pith:XBBURFPEnew · submitted 2015-04-07 · 🧮 math.AP

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

classification 🧮 math.AP
keywords convergencefinegreenprovesomeapplycertainesdomain
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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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