2 papers
math.FA2025
Around the Sobolev Inequalities for the Stable Heat Semigroups
Benjamin Arras, Christian Houdré
We develop a general distributional theory of fractional (an)isotropic Sobolev spaces associated with the non-degenerate symmetric -stable, , probability measures…
math.PR2024
Variance Bounds: Some Old and Some New
Clément Deslandes, Christian Houdré
For functions of independent random variables, various upper and lower variance bounds are revisited in diverse settings. These are then specialized to the Bernoulli, Gaussian, inf…