One-Way Inversibility of Functional Operators with a Shift in the Spaces L_P (Γ)
DOI:
https://doi.org/10.47494/mesb.v19i.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.
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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.
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