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.

中文翻译：

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分数空间中具有卡尔曼位移的算子奇异积分方程的诺特可解性

在本文中，我们获得了一个在 Besov 空间中具有柯西核和卡尔曼位移的奇异积分方程的 Noetherian 可解性条件和指数公式，该方程嵌入到闭李雅普诺夫等高线上的连续函数空间中，但不嵌入到类中满足 Hölder 条件的函数。