Growth of certain harmonic functions in an n-dimensional cone

Lei QIAO, Guantie DENG

Front. Math. China ›› 2013, Vol. 8 ›› Issue (4) : 891-905.

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PDF(133 KB)
Front. Math. China ›› 2013, Vol. 8 ›› Issue (4) : 891-905. DOI: 10.1007/s11464-012-0253-y
RESEARCH ARTICLE
RESEARCH ARTICLE

Growth of certain harmonic functions in an n-dimensional cone

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Abstract

We give the growth properties of harmonic functions at infinity in a cone, which generalize the results obtained by Siegel-Talvila.

Keywords

Growth property / harmonic function / cone

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Lei QIAO, Guantie DENG. Growth of certain harmonic functions in an n-dimensional cone. Front Math Chin, 2013, 8(4): 891‒905 https://doi.org/10.1007/s11464-012-0253-y

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