A Montel Type Result for Super-Polyharmonic Functions on R N

Author: Futamura Toshihide   Kitaura Keiji   Mizuta Yoshihiro  

Publisher: Springer Publishing Company

ISSN: 0926-2601

Source: Potential Analysis, Vol.34, Iss.1, 2011-01, pp. : 89-100

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Abstract

Our aim in this paper is to discuss a Montel type result for a family ${mathcal F}$ of super-polyharmonic functions on R N . We give a condition on spherical means to assure that ${mathcal F}$ contains a sequence converging outside a set of capacity zero.