Weighted Inequalities for Fractional maximal functions on the infinite rooted k-ary tree

2021/12/10 by Abhishek Ghosh, Ghosh, Abhishek, Ezequiel Rela +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #math.CA #msc:05C63 #msc:42B25

paper · pdf · doi:10.48550/arxiv.2112.05494

arxiv created 2021/12/10 · arxiv updated 2021/12/13

Abstract

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.

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