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arXiv 0811.2091math.FA
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半空间中一类下调和函数的增长估计

Growth Estimates for a Class of Subharmonic Functions in a Half Space

Pan Guoshuang, Deng Guantie

摘要:

证明了由修正核表示的一类下调和函数在Rn上半空间无穷远处的增长估计u(x)=o(x_{n} ^{1-alpha} |x| ^{m+alpha}),推广了解析函数和调和函数的增长性质.

英文摘要:

A class of subharmonic functions represented by the modified kernels are proved to have the growth estimates u(x) =o(x_{n}^{1-alpha}|x|^{m+alpha})at infinity in the upper half space of Rn, which generalizes the growth properties of analytic functions and harmonic functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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