On high dimensional maximal operators
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1
Universidad Autónoma de Madrid
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2
Universidad de La Rioja
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ISSN: 1735-8787
Datum der Publikation: 2013
Ausgabe: 7
Nummer: 2
Seiten: 225-243
Art: Artikel
Andere Publikationen in: Banach Journal of Mathematical Analysis
Projekte im Zusammenhang
Zusammenfassung
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.