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.
Citation
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
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