Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces

2022

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DOI 10.1080/17476933.2022.2045975
Data confidence 70 medium
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Abstract

In this paper, we prove Noetherian solvability and obtain the index formula for a singular integral equation with a Carleman shift in Besov spaces. We also obtain the existence of the solution of the singular integral equation as well as their explicit representations in Besov spaces.