Weighted Sobolev inequalities for the Riesz potentials and transforms
Weighted Sobolev inequalities for the Riesz potentials and transforms
Thanks to isomorphism results for Laplace's operator in weighted Sobolev spaces, we derive some applications. Various related spaces, intersection of Hardy spaces and weighted Sobolev spaces, are also considered. We show that the Riesz potentials spaces, consisting of all Riesz potentials $I_\alpha$ of order $\alpha$ of $L^p$ functions, with $1<p<\infty$, …