Conditions of Invertibility for Functional Operators with Shift in Weighted Hölder Spaces

• Published in: Український математичний журнал
• Date: 2015
• Main Authors: Tarasenko, G., Karelin, O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165915
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Conditions of Invertibility for Functional Operators with Shift in Weighted Hölder Spaces / G. Tarasenko, O. Karelin // Український математичний журнал. — 2015. — Т. 67, № 11. — С. 1557–1568. — Бібліогр.: 6 назв. — англ.

We consider functional operators with shift in weighted Hölder spaces. The main result of the work is the proof of the conditions of invertibility for these operators. We also indicate the forms of the inverse operators. As an application, we propose to use these results for the solution of equation...