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Artículo
The endpoint Fefferman-Stein inequality for the strong maximal function
(Elsevier, 2014-01-01)
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respect to n-dimensional rectangles with sides parallel to the coordinate axes. For any dimension n > 2 we prove the natural ...
Tesis Doctoral
Weighted inequalities and multiparameter harmonic analysis
(2014-04-30)
El tema central de esta tesis es el estudio de desigualdades con pesos para algunos de los operadores clásicos del análisis armónico. De entre estos operadores, los que más nos interesan, son aquellos que son invariantes ...
Artículo
A Bp condition for the strong maximal function
(American Mathematical Society, 2014-11)
A strong version of the Orlicz maximal operator is introduced and a natural Bp condition for the rectangle case is defined to characterize its boundedness. This fact let us to describe a sufficient condition for the two ...