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arXiv:2103.06550 [math.AP]AbstractReferencesReviewsResources

Optimal Hardy inequality for the fractional Laplacian on $L^p$

Krzysztof Bogdan, Tomasz Jakubowski, Julia Lenczewska, Katarzyna Pietruska-Pałuba

Published 2021-03-11Version 1

For the fractional Laplacian we give Hardy inequality which is optimal in $L^p$ for $1<p<\infty$. As an application, we explicitly characterize the contractivity of the corresponding Feynman-Kac semigroups on $L^p$.

Comments: 25 pages
Categories: math.AP, math.FA
Subjects: 46E35, 31C05
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