A class of functions containing polyharmonic functions in ${\Bbb R}^n$
Volume 82 / 2003
Annales Polonici Mathematici 82 (2003), 241-250
MSC: Primary 31B30.
DOI: 10.4064/ap82-3-5
Abstract
Some properties of the functions of the form $v(x)=\sum _{i=0}^m |x|^ih_i(x)$ in ${{\mathbb R}}^n$, $n\ge 2$, where each $h_i$ is a harmonic function defined outside a compact set, are obtained using the harmonic measures.