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July 2008 Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions
Toshihide Futamura, Keiji Kitaura, Yoshihiro Mizuta
Hiroshima Math. J. 38(2): 231-241 (July 2008). DOI: 10.32917/hmj/1220619459

Abstract

We consider Riesz decomposition theorem for superbiharmonic functions in the punctured ball. In fact, we show that under certain growth condition on surface integrals, superbiharmonic functions are represented as a sum of potentials and biharmonic functions.

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Toshihide Futamura. Keiji Kitaura. Yoshihiro Mizuta. "Isolated singularities, growth of spherical means and Riesz decomposition for superbiharmonic functions." Hiroshima Math. J. 38 (2) 231 - 241, July 2008. https://doi.org/10.32917/hmj/1220619459

Information

Published: July 2008
First available in Project Euclid: 5 September 2008

zbMATH: 1161.31302
MathSciNet: MR2437573
Digital Object Identifier: 10.32917/hmj/1220619459

Subjects:
Primary: 31B05, 31B15, 31B30

Rights: Copyright © 2008 Hiroshima University, Mathematics Program

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Vol.38 • No. 2 • July 2008
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