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arXiv · 1711.05223

Improved Buckley's theorem on LCA groups

Victoria Paternostro·Ezequiel Rela
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Abstract

We present sharp quantitative weighted norm inequalities for the Hardy-Littlewood maximal function in the context of Locally Compact Abelian Groups, obtaining an improved version of the so-called Buckley's Theorem. On the way, we prove a precise reverse H\"older inequality for Muckenhoupt $A_\infty$ weights and provide a valid version of the "open property" for Muckenhoupt $A_p$ weights.

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Victoria Paternostro, Ezequiel Rela. 2017-11-14. Improved Buckley's theorem on LCA groups. https://doi.org/10.2140/pjm.2019.299.171

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