Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator Articles
Overview
published in
- JOURNAL D ANALYSE MATHEMATIQUE Journal
publication date
- March 2019
start page
- 913
end page
- 937
issue
- 2
volume
- 135
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0021-7670
Electronic International Standard Serial Number (EISSN)
- 1565-8538
abstract
- 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.
Classification
subjects
- Mathematics