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.
"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