61 citations · 118 across the 13 of their papers we have counts for
5 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…
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…
On the growth of vector-valued Fourier series
Javier Parcet, Fernando Soria, Quanhua Xu
We prove the 'little Carleson theorem' on the growth of Fourier series for functions taking values in a UMD Banach space.
On the Boundedness in of the Maximal Square Function Associated with the Schroedinger Equation
Giacomo Gigante, Fernando Soria
A long standing conjecture for the linear Schroedinger equation states that 1/4 of derivative in , in the sense of Sobolev spaces, suffices in any dimension for the solution t…