On the equivalence of some perturbations of the operator of multiplication by the independent variable

We study the conditions of equivalence of two operators obtained as perturbations of the operator of multiplication by the independent variable by certain Volterra operators in the space of functions analytic in an arbitrary domain of the complex plane starlike with respect to the origin.

Збережено в:
Бібліографічні деталі
Дата:2016
Автори: Linchuk, Yu. S., Лінчук, Ю. С.
Формат: Стаття
Мова:Українська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/1944
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Резюме:We study the conditions of equivalence of two operators obtained as perturbations of the operator of multiplication by the independent variable by certain Volterra operators in the space of functions analytic in an arbitrary domain of the complex plane starlike with respect to the origin.