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

Abdumauvlen Suleimanovich Berdyshev, Batirkhan Turmetov, Bakhtiyar Jalilovich Kadirkulov

2012

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DOI 10.1134/s0037446612040039
Data confidence 70 medium
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Abstract

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.