English

Pointwise convergence of lacunary spherical means

Classical Analysis and ODEs 2010-03-15 v1

Abstract

We show that if ff is locally in LloglogLL\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).

Keywords

Cite

@article{arxiv.math/0205154,
  title  = {Pointwise convergence of lacunary spherical means},
  author = {Andreas Seeger and Terence Tao and James Wright},
  journal= {arXiv preprint arXiv:math/0205154},
  year   = {2010}
}

Comments

11 pages

R2 v1 2026-07-22T16:45:23.052Z