Zobrazeno 1 - 10
of 41
pro vyhledávání: '"De Nápoli Pablo L."'
Autor:
De Nápoli, Pablo L.
We present an elementary identity for the cyclotomic polynomials $\Phi_n(X)$ which reflects a kind of multiplicative property of $\Phi_n(X)$ as a function of $n$, and we explore its connections with the properties of other arithmetical functions. Imp
Externí odkaz:
http://arxiv.org/abs/2010.02668
Autor:
De Nápoli, Pablo L.
We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interes
Externí odkaz:
http://arxiv.org/abs/1409.7421
We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class $A_\infty$. The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the r
Externí odkaz:
http://arxiv.org/abs/1406.0542
Autor:
De Napoli, Pablo L., Drelichman, Irene
We present elementary proofs of weighted embedding theorems for radial potential spaces and some generalizations of Ni's and Strauss' inequalities in this setting.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1404.7468
Autor:
De Nápoli, Pablo L., Pinasco, Juan P.
In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $\Omega$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace
Externí odkaz:
http://arxiv.org/abs/1304.6988
Autor:
De Nápoli, Pablo L., Drelichman, Irene
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 of these results to inequalities for Riesz potentials of radial functi
Externí odkaz:
http://arxiv.org/abs/1210.1206
Autor:
Betancor, Jorge J., Castro, Alejandro J., De Nápoli, Pablo L., Fariña, Juan C., Rodríguez-Mesa, Lourdes
Publikováno v:
Proc. Amer. Math. Soc. 142 (2014), 251-261
In this paper we prove that the generalized (in the sense of Caffarelli and Calder\'on) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type (1,1). Our results include other known ones and our proofs are s
Externí odkaz:
http://arxiv.org/abs/1203.0848
We present a new criterion for the weighted $L^p-L^q$ boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerr
Externí odkaz:
http://arxiv.org/abs/1009.2518
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in $\mathbb{R}^n \times \mathbb{R}_+$ admit a better range of power weights if we restrict ourselves to the space of radially symmetr
Externí odkaz:
http://arxiv.org/abs/1009.0484
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 classical inequality due to Stein and Weiss can be improved in this particul
Externí odkaz:
http://arxiv.org/abs/0910.5508