Randomized trial finds improved bounds for maximal operators in Banach function spaces, suggesting greater applicability.
We obtain an improved lower bound for the restricted reverse weak‐type estimate of the Hardy–Littlewood maximal operator . This result is applied to the ‐median maximal operator acting on a Banach function space . We show that under certain assumptions on , the boundedness properties of and are equivalent.
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Andrei K. Lerner (2026) studied this question.
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