On derivation operators with respect to the Duhamel convolution in the space of analytic functions

Yuriy Stepanovich Linchuk

Vol. 20 No. 1 (2015)

Regular Articles

On derivation operators with respect to the Duhamel convolution in the space of analytic functions

Published 2014-10-28

Yuriy Stepanovich Linchuk

Yuriy Stepanovich Linchuk
Chernivtsi National University

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Abstract

We solve the Leibniz operator equation with respect to the Duhamel convolution in the class of linear continuous operators that act in the space of functions analytic in arbitrary starlike domain of the complex plane with respect to the origin.

Keywords

space of analytic functions, operator equation, Duhamel convolution, Duhamel product

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Author Biography

Yuriy Stepanovich Linchuk

Department of Mathematical Analysis; Professor