A generalization of the boundedness of certain integral operators in variable Lebesgue spaces

Lucas Alejandro Vallejos, Marta Susana Urciuolo

Let $A_1,...A_m$ be a $n\times n$ invertible matrices. Let $0\le \alpha <n$ and $0<{\alpha }_i<n$ such that ${\alpha }_1+...+{\alpha }_m=n-\alpha$. We define% \begin{equation*} T_αf(x)=\int \frac{1}{\…