Potential Analysis

, Volume 34, Issue 1, pp 89–100

A Montel Type Result for Super-Polyharmonic Functions on RN

  • Toshihide Futamura
  • Keiji Kitaura
  • Yoshihiro Mizuta


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


Polyharmonic functions Super-polyharmonic functions Spherical means Riesz decomposition 

Mathematics Subject Classifications (2010)

Primary 31B30 31B05 31B15 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Toshihide Futamura
    • 1
  • Keiji Kitaura
    • 2
  • Yoshihiro Mizuta
    • 3
  1. 1.Department of MathematicsDaido UniversityNagoyaJapan
  2. 2.Department of Mathematics, Graduate School of ScienceHiroshima UniversityHigashi-HiroshimaJapan
  3. 3.Department of MathematicsHiroshima UniversityHigashi-HiroshimaJapan

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