Pointwise convergence of lacunary spherical means

Details Pointwise convergence of lacunary spherical means Pointwise convergence of lacunary spherical means

2002-05-14

arxiv.org/abs/math/0205154v1

Harmonic Analysis at Mount Holyoke, Contemporary Mathematics 320, pp. 343-354, 2003

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

We show that if $f$ is locally in $L\log\log L$ then the lacunary spherical
means converge almost everywhere. The argument given here is a model case for
more general results on singular maximal functions and Radon transforms (see
ref. 6).

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