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November 2009 Riesz decomposition for superbiharmonic functions in the unit ball
T. FUTAMURA, K. KITAURA, Y. MIZUTA
Hokkaido Math. J. 38(4): 683-700 (November 2009). DOI: 10.14492/hokmj/1258554240

Abstract

For a superbiharmonic function $u$ in the unit ball with the growth condition of spherical means, we show that $u$ is represented as the sum of a generalized Riesz potential and a biharmonic function. This representation is referred to as Riesz decomposition for superbiharmonic functions. \\ ~~~The superharmonic case is treated similarly.

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T. FUTAMURA. K. KITAURA. Y. MIZUTA. "Riesz decomposition for superbiharmonic functions in the unit ball." Hokkaido Math. J. 38 (4) 683 - 700, November 2009. https://doi.org/10.14492/hokmj/1258554240

Information

Published: November 2009
First available in Project Euclid: 18 November 2009

zbMATH: 1184.31009
MathSciNet: MR2561956
Digital Object Identifier: 10.14492/hokmj/1258554240

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

Rights: Copyright © 2009 Hokkaido University, Department of Mathematics

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Vol.38 • No. 4 • November 2009
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