Dimension-Free Estimates for the Discrete Spherical Maximal Functions
Author:
Affiliation:
1. Department of Mathematics, Rutgers University , Piscataway, NJ 08854, USA
2. Instytut Matematyczny, Uniwersytet Wrocławski , Plac Grunwaldzki 2, 50-384 Wrocław, Poland
3. Basque Center for Applied Mathematics , 48009 Bilbao, Spain
Abstract
Funder
Department of Mathematics at Rutgers University
National Science Centre, Poland
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
https://academic.oup.com/imrn/article-pdf/2024/2/901/56326429/rnac329.pdf
Reference37 articles.
1. The weak type $\left (1,1\right )$ bounds for the maximal function associated to cubes grow to infinity with the dimension;Aldaz;Ann. of Math. (2),2011
2. New bounds for discrete lacunary spherical averages;Anderson,2020
3. Averages in the plane over convex curves and maximal operators;Bourgain;J. Anal. Math.,1986
4. On high dimensional maximal functions associated to convex bodies;Bourgain;Amer. J. Math.,1986
5. On ${L}^p$ bounds for maximal functions associated to convex bodies in ${\mathbb {R}}^n$;Bourgain;Israel J. Math.,1986
Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On the solution of Waring problem with a multiplicative error term: Dimension-free estimates;Proceedings of the American Mathematical Society;2023-05-12
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