Singular Integrals Along N Directions in R^2

Details Singular Integrals Along N Directions in R^2 Singular Integrals Along N Directions in R^2

2010-01-12

arxiv.org/abs/1001.1998v1

Mathematics

Classical Analysis and ODEs

10 pages, 0 figures

Scientific paper

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.

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