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# Beurling-Dahlberg-Sjögren Type Theorems for Minimally Thin Sets in a Cone

Published:2003-06-01
Printed: Jun 2003
• Ikuko Miyamoto
• Minoru Yanagishita
• Hidenobu Yoshida
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## Abstract

This paper shows that some characterizations of minimally thin sets connected with a domain having smooth boundary and a half-space in particular also hold for the minimally thin sets at a corner point of a special domain with corners, {\it i.e.}, the minimally thin set at $\infty$ of a cone.
 MSC Classifications: 31B05 - Harmonic, subharmonic, superharmonic functions 31B20 - Boundary value and inverse problems