Growth Property and Integral Representation of Harmonic Functions in a Cone
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2
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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.
Classification :
31B10, 31C05
Lei Qiao; Guan-Tie Deng. Growth Property and Integral Representation of Harmonic Functions in a Cone. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a22/
@article{BMMS_2013_36_2_a22,
author = {Lei Qiao and Guan-Tie Deng},
title = {Growth {Property} and {Integral} {Representation} of {Harmonic} {Functions} in a {Cone}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a22/}
}