Inverse-closedness of the set of integral operators with $L_1$-continuously varying kernels

V. G. Kurbatov, V. I. Kuznetsova

Let $N$ be an integral operator of the form $\left(Nu\right)(x)={\int }_{{\mathbb{R}}^c}n(x,x-y)u(y)dy$ acting in $L_p({\mathbb{R}}^c)$ with a measurable kernel $n$ satisfying the estima…