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.
Publié le : 2015-05-26
Classification:
space of analytic functions, operator equation, Duhamel convolution, Duhamel product,
47B38;47A62
@article{mc909,
author = {Linchuk, Yuriy Stepanovich},
title = {On derivation operators with respect to the Duhamel convolution in the space of analytic functions},
journal = {Mathematical Communications},
volume = {20},
number = {1},
year = {2015},
pages = { 17-22},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc909}
}
Linchuk, Yuriy Stepanovich. On derivation operators with respect to the Duhamel convolution in the space of analytic functions. Mathematical Communications, Tome 20 (2015) no. 1, pp. 17-22. http://gdmltest.u-ga.fr/item/mc909/