RT Journal Article
T1 Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator
A1 Soria de Diego, Francisco Javier
A1 Tradacete, Pedro
AB 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.
PB Springer
SN 2737-0690
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/93673
UL https://hdl.handle.net/20.500.14352/93673
LA eng
NO Soria, J., Tradacete, P. Geometric properties of infinite graphs and the Hardy–Littlewood maximal operator. JAMA 137, 913–937 (2019). https://doi.org/10.1007/s11854-019-0019-5
NO Ministerio de Economía, Comercio y Empresa (España)
NO Generalitat de Catalunya
DS Docta Complutense
RD 4 abr 2025