| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614397 | Journal of Mathematical Analysis and Applications | 2016 | 22 Pages |
Abstract
We study the behavior of averages for functions defined on finite graphs G , in terms of the Hardy–Littlewood maximal operator MGMG. We explore the relationship between the geometry of a graph and its maximal operator and prove that MGMG completely determines G (even though embedding properties for the graphs do not imply pointwise inequalities for the maximal operators). Optimal bounds for the p-(quasi)norm of a general graph G in the range 0
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Javier Soria, Pedro Tradacete,