Around the Sobolev Inequalities for the Stable Heat Semigroups
Benjamin Arras, Christian Houdré
Published: 2025/7/30
Abstract
We develop a general distributional theory of fractional (an)isotropic Sobolev spaces associated with the non-degenerate symmetric $\alpha$-stable, $\alpha \in (1,2)$, probability measures on $\mathbb{R}^d$.