Vol. 117, No. 2, 1985

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Weighted reverse weak type inequalities for the Hardy-Littlewood maximal function

Benjamin Muckenhoupt

Vol. 117 (1985), No. 2, 371–377
Abstract

Kenneth Andersen and Wo-Sang Young recently obtained a sufficient condition and a different necessary condition on a pair of weight functions for which a reverse weak type norm inequality holds for the Hardy-Littlewood maximal function. It is shown here that their necessary condition is also sufficient. The consequences of the sufficiency theorem that they proved are strengthened by use of this result.

Mathematical Subject Classification 2000
Primary: 42B25
Milestones
Received: 3 October 1983
Published: 1 April 1985
Authors
Benjamin Muckenhoupt