Differential operators for a scale of Poisson type kernels in the unit disc
Differential operators for a scale of Poisson type kernels in the unit disc
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DOI：
10.1007/s11854-014-0019-4
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发表时间：
2014-07
期刊：
影响因子：
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通讯作者：
A. Olofsson
中科院分区：
文献类型：
--
作者：
A. Olofsson
本文引入了微分算子的一个尺度，它被证明是正则对应于一般化了单位圆盘经典泊松核的解核的一个尺度。所研究的核尺度是非常自然的，在数学分析的许多地方都有出现，例如在单位圆盘中双调和函数的积分表示理论中。
In this paper, we introduce a scale of differential operators which is shown to correspond canonically to a certain scale of solution kernels generalizing the classical Poisson kernel for the unit disc. The scale of kernels studied is very natural and appears in many places in mathematical analysis, such as in the theory of integral representations of biharmonic functions in the unit disc.