A Note on Maximal Averages in the Plane

Details A Note on Maximal Averages in the Plane A Note on Maximal Averages in the Plane

2008-10-06

arxiv.org/abs/0810.0911v2

Mathematics

Classical Analysis and ODEs

Scientific paper

Using variants of the TT* method we give a self-contained proof of the result
of Alfonseca, Soria and Vargas on maximal operators on arbitrary directions in
$\rr^2$. We also give a sharp $L^2$ estimate for a maximal function extending a
Theorem of Cordoba.

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