26 citations · 35 across the 9 of their papers we have counts for
11 papers
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…
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…
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…
The sharp affine Sobolev trace inequality and variants
Pablo Luis De Nápoli, Julián Haddad, Carlos Hugo Jiménez +1
We establish a sharp affine Sobolev trace inequality by using the Busemann-Petty centroid inequality. For , our affine version is stronger than the famous sharp…
Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces
Pablo L. De Nápoli, Irene Drelichman, Nicolas Saintier
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class . The main tool is a discretizati…
Elementary proofs of Embedding Theorems for Potential Spaces of Radial Functions
Pablo L. De Napoli, Irene Drelichman
We present elementary proofs of weighted embedding theorems for radial potential spaces and some generalizations of Ni's and Strauss' inequalities in this setting.
Weighted convolution inequalities for radial functions
Pablo L. De Nápoli, Irene Drelichman
We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications…
-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators
Jorge J. Betancor, Alejandro J. Castro, Pablo L. De Nápoli +2
In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak t…
Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in admit a better range of p…
Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán
We present a new criterion for the weighted boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a sp…
On weighted inequalities for fractional integrals of radial functions
Pablo L. De Napoli, Irene Drelichman, Ricardo G. Duran
We prove a weighted version of the Hardy-Littlewood-Sobolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classi…