Growth of certain harmonic functions in an n-dimensional cone

Lei QIAO; Guantie DENG

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Growth of certain harmonic functions in an n-dimensional cone

机译：n维锥中某些谐波函数的增长

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摘要

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

机译：我们给出了圆锥中无限大谐波函数的增长性质，这些性质泛化了Siegel-Talvila获得的结果。

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来源
《Frontiers of mathematics in China》 |2013年第4期|891-905|共15页
作者
Lei QIAO; Guantie DENG;
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作者单位

Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002, China;

School of Mathematical Science, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Growth property; harmonic function; cone;

机译：成长性;谐波函数锥体;

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机译：完全可达性时具有控制约束射线的n维谐振子可达锥性的结构
2. Harmonic functions on asymptotic cones with Euclidean volume growth [J] . Shouhei Honda Journal of the Mathematical Society of Japan . 2015,第1期

机译：欧氏体积增长的渐近锥上的调和函数
3. Bound states of n-dimensional harmonic oscillator decorated with Dirac delta functions [J] . Demiralp E Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2005,第22期

机译：用Dirac delta函数修饰的n维谐波振荡器的束缚态
4. The same growth of FB and NR symmetric cone complementarity functions [C] . Shujun Bi, Shaohua Pan, Jein-Shan Chen The 8th international conference on optimization: Techniques and Applications . 2010

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5. An analysis of conjugate harmonic components of monogenic functions and lambda harmonic functions. [D] . Ballenger-Fazzone, Brendon Kerr. 2016

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6. Modeling the temporal periodicity of growth increments based on harmonic functions [O] . José Angel Hidalgo-de-la-Toba, Enrique Morales-Bojórquez, Sergio Scarry González-Peláez, -1

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7. Convexity of means and growth of certain subharmonic functions in an n-dimensional cone [O] . Wanby, Göran 1983

机译：n维锥中某些次谐波函数的均值和增长性

Growth of certain harmonic functions in an n-dimensional cone

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