Improved endpoint bounds for the lacunary spherical maximal operator

Laura Cladek, Benjamin Krause

Type: Article

Publication Date: 2024-07-19

Citations: 1

DOI: https://doi.org/10.2140/apde.2024.17.2011

Abstract

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.

Locations

Analysis & PDE - View
arXiv (Cornell University) - View - PDF

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