Work

Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres

Year: 2026

Type: preprint

Abstract: We prove that the full discrete Hardy-Littlewood maximal operator associated with Euclidean balls satisfies dimension-free bounds on $\ell^p(\mathbb Z^d)$ for every $1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.10763

Authors: Hormozi, Mahdi, Niksiński, Jakub, Wróbel, Błażej

Institutions: Beijing Institute of Mathematical Sciences and Applications, Rutgers, The State University of New Jersey, University of Wrocław, Institute of Mathematics

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Narodowym Centrum Nauki

Awards: G4255701961, G6671297155, CAREER: Harmonic Analysis, Ergodic Theory and Convex Geometry

OpenAlex ID: W7212306613

Cites: 18

Cited by:

Related to: 10