2017
Том 69
№ 6

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On some properties of Gelfond – Leontiev generalized integration operators

Linchuk N. E., Linchuk S. S.

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Abstract

In a class of linear continuous operators acting in spaces of functions analytic in domains, we describe in various forms isomorphisms which commute with a degree of the Gelfond – Leontiev generalized integration. We also obtain images of all closed subspaces of a space of analytic functions which are invariant with respect to the degree of the Gelfond – Leontiev generalized integration.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 1, pp 74-83.

Citation Example: Linchuk N. E., Linchuk S. S. On some properties of Gelfond – Leontiev generalized integration operators // Ukr. Mat. Zh. - 2011. - 63, № 1. - pp. 61-68.

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