One-Way Inversibility of Functional Operators with a Shift in the Spaces L_P (Γ)
DOI:
https://doi.org/10.47494/mesb.2021.19.937Keywords:
shift, one-sided shift, reversibility, one-way reversibility, periodic pointsAbstract
Criteria are obtained for one-sided invertibility of functional operators with forward shift in Lebesgue spaces when an arbitrary non-empty set of periodic points has a shift.
Downloads
References
A. Yu. Karlovich, Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts. Banach J. Math. Anal. 9 (2015) 24– 42.
Karlovich, Alexei Yu., Yuri I. Karlovich, and Amarino B. Lebre. "Criteria for n(d)-normality of weighted singular integral operators with shifts and slowly oscillating data." Proceedings of the London Mathematical Society. 116.4 (2018): 997-1027 .
M.A. Bastos, C. Fernandes, and Yu.I. Karlovich. A C∗-algebra of singular integral operators with shifts admitting distinct fixed points. J. Math. Anal. Appl., 413(1):502–524, 2014.
Е. В. Пантелеева Условие правосторонней обратимости операторов взвешенного сдвига в пространствах вектор-функций // Вестник БГУ. СЕР. 1. 2014. № 1, С 92-95
А. Б. Антоневич, А. А. Ахматова, Ю. Маковска, “Отображения с разделимой динамикой и спектральные свойства порожденных ими операторов”, Матем. сб., 206:3 (2015), 3–34
A. B. Antonevich, Yu. Yakubovska, Weighted translation operators generated by mappings with saddle points: a model class Journal of Mathematical Sciences 164, (2010): 497–517.
Ю. И. Карлович, Р. Мардиев, “Об односторонней обратимости функциональных операторов и n(d)-нормальности сингулярных интегральных операторов со сдвигом в пространствах Гёльдера”, Дифференц. уравнения, 24:3 (1988), 488–499
Мардиев Р. Сингулярные интегральные операторы со сдвигом не имеющих периодических точек. Modern problems of dynamical systems and their applications. May 1-3, 2017.-213-214p.
Мардиев Р. Критерий полунетеровости одного класса сингулярных интегральных операторов с некарлемановским сдвигом // Докл. АН УзССР. 1985. Т. 2. № 2. С. 5–7.
Литвинчук Г.С. Краевые задачи и сингулярные интегральные уравнения со сдвигом. М.: Наука, 1977.–448с.
Published
How to Cite
Issue
Section
Copyright (c) 2021 Rasul Mardiev, Makhamajanov Makhamat-Ibrahim Akhmatjanovich
This work is licensed under a Creative Commons Attribution 4.0 International License.
The work simultaneously licensed under a Creative Commons Attribution 4.0 International License
You are free to:
- Share — copy and redistribute the material in any medium or format
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
