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arXiv · 2105.06520

Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes

Arturo de Pablo·Fernando Quirós·Antonella Ritorto
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Abstract

We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-compactness principle for stable processes in $\mathbb{R}^N$.

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Arturo de Pablo, Fernando Quirós, Antonella Ritorto. 2021-05-13. Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes. https://arxiv.org/abs/2105.06520

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