Weighted integrability of polyharmonic functions in the higher dimensional case

Congwen Liu, Antti Perala, Jiajia Si

This paper is concerned with the $L^p$ integrability of $N$-harmonic functions with respect to the standard weights $(1-|x{|}^2{)}^{\alpha }$ on the unit ball $\mathbb{B}$ of ${\mathbb{R}}^n$, $…