21 citations · 21 across the 3 of their papers we have counts for
3 papers
math.CA2013
On high dimensional maximal operators
J. M. Aldaz, J. Pérez Lázaro
In this note we describe some recent advances in the area of maximal function inequalities. We also study the behaviour of the centered Hardy-Littlewood maximal operator associated…
math.CA2006★ 21 cited
Boundedness and unboundedness results for some maximal operators on functions of bounded variation
J. M. Aldaz, J. Pérez Lázaro
We characterize the space of functions of bounded variation on an arbitrary interval , in terms of a uniform boundedness condition satisfied by the loc…
math.CA2006
Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
J. M. Aldaz, J. Pérez Lázaro
We prove that if is of bounded variation, then the noncentered maximal function is absolutely continuous, and its derivative satisfies the sharp…