Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces
Bliev N.K. Tulenov K.S.
2021Taylor and Francis Ltd.
Complex Variables and Elliptic Equations
2021#66Issue 2336 - 346 pp.
In this paper, we obtain conditions of Noetherian solvability and the Index formula for a singular integral equation with a Cauchy kernel and a Carleman shift in Besov space, which is embedded into the space of continuous functions on a closed Lyapunov contour but not into the class of functions satisfying Hölder condition.
30E20 , 30H05 , 30H25 , 45E05 , Besov spaces , Carleman shift , Noetherian solvability , singular integral equation
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026