Optimal Hardy Inequality for Fractional Laplacians on the Integers-Reference-Cited by-同舟云学术

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Optimal Hardy Inequality for Fractional Laplacians on the Integers

Published:2023-04-24 Issue:8 Volume:24 Page:2729-2741
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Keller Matthias,Nietschmann Marius^ORCID

Abstract

AbstractWe study the fractional Hardy inequality on the integers. We prove the optimality of the Hardy weight and hence affirmatively answer the question of sharpness of the constant.

Funder

Universität Potsdam

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00023-023-01307-z.pdf

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3. Berchio, E., Ganguly, D., Grillo, G., Pinchover, Y.: An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds. Proc. R. Soc. Edinb. A: Math. 150(4), 1699–1736 (2020)

4. Ciaurri, Ó., Roncal, L.: Hardy’s inequality for the fractional powers of a discrete Laplacian. J. Anal. 26, 211–225 (2018)

5. Ciaurri, Ó., Roncal, L., Stinga, P.R., Torrea, J.L., Varona, J.L.: Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications. Adv. Math. 330, 688–738 (2018)

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