3 papers
math.FA2021
Mean Value Inequalities and Characterizations of Sobolev spaces on graded groups
Pablo De Nápoli, Rocío Díaz Martín
We develop characterizations for Sobolev spaces of potential type on graded Lie groups, by means of Littlewood-Paley square functions, and Strichartz functionals involving second-o…
math.AP2017
Fractional Laplacians on the sphere, the Minakshisundaram zeta function and semigroups
P. L. De Nápoli, P. R. Stinga
In this paper we show novel underlying connections between fractional powers of the Laplacian on the unit sphere and functions from analytic number theory and differential geometry…
math.AP2017
Weighted Inequalities for the Fractional Laplacian and the Existence of Extremals
Pablo De Nápoli, Irene Drelichman, Ariel Salort
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…