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math.CA2013★ 1 cited
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…
math.CA2013★ 1 cited
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…
math.CA2013
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…