Abstract
When generalized harmonic functions belong to the weighted Lebesgue classes, we give the asymptotic behaviors of them at infinity in an $n$-dimensional cone. Meanwhile, the integral representations of them are also considered, which imply the known representations of classical harmonic functions in the upper half space.
Citation
Lei Qiao. Guoshuang Pan. "INTEGRAL REPRESENTATIONS OF GENERALIZED HARMONIC FUNCTIONS." Taiwanese J. Math. 17 (5) 1503 - 1521, 2013. https://doi.org/10.11650/tjm.17.2013.2912
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