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Improved endpoint
bounds for the lacunary spherical maximal operator
Laura Cladek and Benjamin Krause |
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Vol. 17 (2024), No. 6, 2011–2032
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Abstract |
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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 for any . |
Keywords
harmonic analysis, Calderón–Zygmund theory, geometric
maximal functions
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Mathematical Subject Classification
Primary: 42B15
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Milestones
Received: 3 November 2021
Revised: 26 August 2022
Accepted: 2 December 2022
Published: 19 July 2024
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Authors |
| Laura Cladek | |
| Institute for Advanced Study Princeton, NJ United States |
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| Benjamin Krause | |
| Department of Mathematics King’s College London London United Kingdom |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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