Vanishing exponential integrability for Riesz potentials of functions in Orlicz classes
The exponential integrability of Riesz potentials \[ R\alpha f(x)=\int_{\mathbb{R}^n} | x-y| ^{\alpha -n} f(y) dy, \qquad x \in\mathbb{R}^n, \] is investigated. Vanishing exponential integrability of \(R\alpha f\) is established for functions \(f\) satisfying certain Orlicz conditions. Previous related results of Adams and Hurri-Syrjänen are improved.
scientific article; zbMATH DE number 5317035