Open Access
2013 On high dimensional maximal operators
J. M. Aldaz , J. Perez Lazaro
Banach J. Math. Anal. 7(2): 225-243 (2013). DOI: 10.15352/bjma/1363784233
Abstract

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 to certain families of doubling, radial decreasing measures, and acting on radial functions. In fact, we precisely determine when the weak type $(1,1)$ bounds are uniform in the dimension.

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Copyright © 2013 Tusi Mathematical Research Group
J. M. Aldaz and J. Perez Lazaro "On high dimensional maximal operators," Banach Journal of Mathematical Analysis 7(2), 225-243, (2013). https://doi.org/10.15352/bjma/1363784233
Published: 2013
Vol.7 • No. 2 • 2013
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