A Note on Maximal Averages in the Plane

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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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Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/219566

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.0911
 http://arxiv.org/abs/0810.0911

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arXiv