卡带类次调和函数狄利克雷积分的恒等式

P. Kargaev, K. Evgeny
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引用次数: 6

摘要

设一个实数函数v在平面内是次谐波的,在平面外是次谐波的。假设v属于整个函数的caright类的所谓次调和对应物。对于这样一个函数,我们用狄利克雷积分得到了恒等式和估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Identities for the dirichlet integral of subharmonic functions from the cartright class
Let a real function v be subharmonic in the plane and harmonic outside and . Assume that v belongs to the so-called subharmonic counterpart of the Cartright class of the entire functions. For such a function we obtain identities and estimates in terms of the Dirichlet integral.
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