Singular Integrals Along N Directions in R^2
Classical Analysis and ODEs
2010-01-13 v1
Abstract
We prove optimal bounds in L^2(R^2) for the maximal oper- ator obtained by taking a singular integral along N arbitrary directions in the plane. We also give a new proof for the optimal L^2 bound for the single scale Kakeya maximal function.
Keywords
Cite
@article{arxiv.1001.1998,
title = {Singular Integrals Along N Directions in R^2},
author = {Ciprian Demeter},
journal= {arXiv preprint arXiv:1001.1998},
year = {2010}
}
Comments
10 pages, 0 figures