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arXiv · 1511.06632

Local lower norm estimates for dyadic maximal operators and related Bellman functions

Antonios D. Melas·Eleftherios N. Nikolidakis
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Abstract

We provide lower $L^q$ and weak $L^p$-bounds for the localized dyadic maximal operator on $R^n$, when the local $L^1$ and the local $L^p$ norm of the function are given. We actually do that in the more general context of homo- geneous tree-like families in probability spaces.

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Antonios D. Melas, Eleftherios N. Nikolidakis. 2015-11-19. Local lower norm estimates for dyadic maximal operators and related Bellman functions. https://arxiv.org/abs/1511.06632

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