FUTAMURA T., KITAURA K., MIZUTA Y.,
Riesz decomposition for superbiharmonic functions in the unit ball.
Hokkaido Mathematical Journal, 38 () pp.683-700
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.
|MSC(Secondary)||31B30(MSC2000), 31B05(MSC2000), 31B15(MSC2000)|
|Uncontrolled Keywords||superbiharmonic functions; spherical means; Riesz decomposition;|