Pointwise convergence of lacunary spherical means

Abstract

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).

11 pages

Cited by in corpus (2)

• Improved endpoint bounds for the lacunary spherical maximal operator
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