A Note on Maximal Averages in the Plane

2008/10/06 by José A. Barrionuevo, Jose A. Barrionuevo, Barrionuevo, Jose A. +2
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #math.CA

paper · pdf · doi:10.48550/arxiv.0810.0911

openalex publication_date 2008/10/06 · arxiv created 2009/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 \rr². We also give a sharp L² estimate for a maximal function extending a Theorem of Cordoba.

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