分数阶空间中带Carleman位移算子奇异积分方程的Noether可解性
Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces
摘要：
本文给出了Besov空间中一类带Cauchy核和Carleman位移的奇异积分方程的Noether可解性条件和指数公式，该方程嵌入到闭Lyapunov轮廓上的连续函数空间中，但不嵌入到满足赫尔德条件的函数类中.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
