52 citations · 224 across the 33 of their papers we have counts for
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math.CA2009
Behavior of weak type bounds for high dimensional maximal operators defined by certain radial measures
J. M. Aldaz, J. Pérez Lázaro
As shown in [A1], the lowest constants appearing in the weak type (1,1) inequalities satisfied by the centered Hardy-Littlewood maximal operator associated to certain finite radial…
math.CA2009★ 15 cited
Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
J. M. Aldaz, J. Perez Lazaro
We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decr…
math.CA2009
The best constant for the centered maximal operator on radial decreasing functions
J. M. Aldaz, J. Pérez Lázaro
We show that the lowest constant appearing in the weak type (1,1) inequality satisfied by the centered Hardy-Littlewood maximal operator on radial integrable functions is 1.