论文信息 - DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINS

DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINS

Nous introduisons des classes nouvelles de domaines, domaines semi-uniformes et domaines interieurs semi-uniformes. Elles sont intermediaires entre la classe des domaines de John et la clause des domaines uniformes. Sous la condition de densite de capacite, nous prouvons que la mesure harmonique d'un domaine D de John satisfait certaines conditions de doublement si et seulement si D est un domaine semi-uniforme ou un domaine interieur semi-uniforme.

K. Hirata | Hiroaki Aikawa

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