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A Montel Type Result for Super-Polyharmonic Functions on R |
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| Authors: | Toshihide Futamura Keiji Kitaura Yoshihiro Mizuta |
| Affiliation: | 1.Department of Mathematics,Daido University,Nagoya,Japan;2.Department of Mathematics, Graduate School of Science,Hiroshima University,Higashi-Hiroshima,Japan;3.Department of Mathematics,Hiroshima University,Higashi-Hiroshima,Japan |
| Abstract: | Our aim in this paper is to discuss a Montel type result for a family F{mathcal F} of super-polyharmonic functions on R N . We give a condition on spherical means to assure that F{mathcal F} contains a sequence converging outside a set of capacity zero. |
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