2 papers
math.CA2010
Optimal bounds on the modulus of continuity of the uncentered Hardy-Littlewood maximal function
J. M. Aldaz, L. Colzani, J. Pérez Lázaro
We obtain sharp bounds for the modulus of continuity of the uncentered maximal function in terms of the modulus of continuity of the given function, via integral formulas. Some of…
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.