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arXiv · 2112.05494

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

Abhishek Ghosh·Ezequiel Rela
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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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BibTeXRIS

Abhishek Ghosh, Ezequiel Rela. 2021-12-10. Weighted Inequalities for Fractional maximal functions on the infinite rooted $k$-ary tree. https://arxiv.org/abs/2112.05494

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