Volume 36 • Number 2 • 2013   • Growth Property and Integral Representation of Harmonic Functions in a Cone Lei Qiao and Guan-Tie Deng Abstract. Our aim in this paper is to deal with the growth property at infinity for modified Poisson integrals in an $n$-dimensional cone. We also generalize the integral representation of harmonic functions in a half space of ${\bf R}^{n} (n\geq2)$ to the conical case. 2010 Mathematics Subject Classification: 31B10, 31C05 Full text: PDF