Some properties and applications of the integrodifferential operators of hadamard-marchaud type in the class of harmonic functions

被引：0
|
作者：
A. S. Berdyshev
B. Kh. Turmetov
B. J. Kadirkulov
机构：
[1] Abai Kazakh National Pedagogical University,
[2] Yasavi International Kazakh-Turkish University,undefined
[3] Tashkent State Institute of Oriental Studies,undefined
来源：
Siberian Mathematical Journal | 2012年 / 53卷
关键词：
Laplace equation; integrodifferential operator; operators of fractional derivation in the sense of Hadamard and Hadamard-Marchaud;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the class of harmonic functions, we study the properties of some integrodifferential operators generalizing the operators of fractional derivation in the sense of Hadamard and Hadamard-Marchaud. By way of application of the so-obtained properties, we consider some boundary value problems for the Laplace equation in the ball.
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页码：600 / 610
页数：10
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