English

A Note on Maximal Averages in the Plane

Classical Analysis and ODEs 2009-02-13 v2

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\rr^2. We also give a sharp L2L^2 estimate for a maximal function extending a Theorem of Cordoba.

Keywords

Cite

@article{arxiv.0810.0911,
  title  = {A Note on Maximal Averages in the Plane},
  author = {Jose A. Barrionuevo and Lucas Oliveira},
  journal= {arXiv preprint arXiv:0810.0911},
  year   = {2009}
}
R2 v1 2026-06-21T11:27:37.658Z