Local lower norm estimates for dyadic maximal operators and related Bellman functions
Melas, Antonios D. · Nikolidakis, Eleftherios N.
Original · EN
We provide lower Lq and weak Lᵖ-bounds for the localized dyadic maximal operator on Rⁿ, when the local L¹ and the local Lᵖ 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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