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arXiv · 1705.00030

Weighted Inequalities for the Fractional Laplacian and the Existence of Extremals

Pablo De Nápoli·Irene Drelichman·Ariel Salort
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Abstract

In this article we obtain improved versions of Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities, involving Besov norms of negative smoothness. As an application of the former, we derive the existence of extremals of the Stein-Weiss inequality in certain cases, some of which are not contained in the celebrated theorem of E. Lieb.

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Pablo De Nápoli, Irene Drelichman, Ariel Salort. 2017-04-28. Weighted Inequalities for the Fractional Laplacian and the Existence of Extremals. https://doi.org/10.1142/s0219199718500347

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