Weighted Inequalities for Fractional Maximal Functions on the Infinite Rooted k-Ary Tree

In this article, we introduce the fractional Hardy–Littlewood maximal function on the infinite rooted k -ary tree and study its weighted boundedness. We also provide examples of weights for which the fractional Hardy–Littlewood maximal function satisfies strong type ( p , q ) estimates on the infin...

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Bibliographic Details
Published in:	The Journal of geometric analysis Vol. 33; no. 1
Main Authors:	Ghosh, Abhishek, Rela, Ezequiel
Format:	Journal Article
Language:	English
Published:	New York Springer US 2023 Springer Nature B.V
Subjects:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Infinite rooted ary tree Fractional Hardy–Littlewood maximal function 42B25 Weights 05C63
Online Access:	Get full text
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Summary:	In this article, we introduce the fractional Hardy–Littlewood maximal function on the infinite rooted k -ary tree and study its weighted boundedness. We also provide examples of weights for which the fractional Hardy–Littlewood maximal function satisfies strong type ( p , q ) estimates on the infinite rooted k -ary tree.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-022-01083-y