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Discrete Maximal Operators on Manifolds by Sai Hauz is a document available to read on EtoBox.
This paper explores discrete maximal operators over surfaces of higher codimension, integrating themes from harmonic analysis and discrete geometry. The authors establish bounds for a maximal operator that averages over triangular configurations, demonstrating its boundedness from ℓp × ℓq to ℓr for specific ranges of p, q, and r. The results are significant as they represent the first examples of discrete maximal inequalities involving continuous manifolds with codimension greater than 1.
- Author
- Sai Hauz
- Language
- EN