61 citations · 118 across the 13 of their papers we have counts for
6 papers · 1 filter
Muckenhoupt-Wheeden conjectures in higher dimensions
Alberto Criado, Fernando Soria
In recent work by Reguera and Thiele and by Reguera and Scurry, two conjectures about joint weighted estimates for Calderón-Zygmund operators and the Hardy-Littlewood maximal funct…
On the dimension dependence of some weighted inequalities
Alberto Criado, Fernando Soria
In the context of radial weights we study the dimension dependence of some weighted inequalities for maximal operators. We study the growth of the -constants for radial weight…
A critical fractional equation with concave-convex power nonlinearities
B. Barrios, E. Colorado, R. Servadei +1
In this work we study the following fractional critical problem $$ (P_λ)=\left\{\begin{array}{ll} (-Δ)^s u=λu^{q} + u^{2^*_{s}-1}, \quad u{>}0 & \mbox{in} Ω\\ u=0 & \mbox{in} \RR^n…
Estimates for multiparameter maximal operators of Schrödinger type
Per Sjölin, Fernando Soria
Multiparameter maximal estimates are considered for operators of Schrödinger type. Sharp and almost sharp results, that extend work by Rogers and Villarroya, are obtained. We provi…
Localization and dimension free estimates for maximal functions
Alberto Criado, Fernando Soria
In the recent paper [J. Funct. Anal. {\bf 259} (2010)], Naor and Tao introduce a new class of measures with a so-called micro-doubling property and present, via martingale theory a…
A Widder's type Theorem for the heat equation with nonlocal diffusion
Begoña Barrios, Ireneo Peral, Fernando Soria +1
The main goal of this work is to prove that every non-negative {\it strong solution} to the problem $$ u_t+(-Δ)^{α/2}u=0 \ \quad\mbox{for } (x,t)\in\mathbb{R}^{n}\times(0,…