2016/02/02 by J. Soria, Javier Soria, Soria, Javier +2 · 1 citation
Mathematics · #05C12 #05C63 #42B25 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Holomorphic and Operator Theory #Nonlinear Partial Differential Equations #math.CA #math.CO #msc:05C12 #msc:05C63 #msc:42B25
paper · pdf · doi:10.48550/arxiv.1602.01029
18 pages, 5 figures
arxiv created 2016/02/02 · openalex publication_date 2016/02/02 · arxiv updated 2016/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study different geometric properties on infinite graphs, related to the weak-type boundedness of the Hardy-Littlewood maximal averaging operator. In particular, we analyze the connections between the doubling condition, having finite dilation and overlapping indices, uniformly bounded degree, the equidistant comparison property and the weak-type boundedness of the centered Hardy-Littlewood maximal operator. Several non-trivial examples of infinite graphs are given to illustrate the differences among these properties.