We prove new endpoint bounds for the lacunary spherical maximal operator and as a consequence obtain almost everywhere pointwise convergence of lacunary spherical means for functions locally in L log log log L(log log log log L) 1+ǫ for any ǫ > 0.
No takes yet. Share an insight, caveat, or question.
Cladek et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: