Homogeneous fractional integral operators on weighted Lebesgue, Morrey and Campanato spaces

Jingliang Du, Hua Wang

Let $0<\alpha <n$ and $T_{\Omega ,\alpha }$ be the homogeneous fractional integral operator which is defined by \begin{equation*} T_{Ω,α}f(x):=\int_{\mathbb R^n}\frac{Ω(x-y)}{|x-y|^{n-α}}f(y)\,dy, \…