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Published November 1, 1985 | public
Journal Article Open

Weights and L log L

Abstract

Let ω(x) be positive locally integrable weight on [0,1]. Discussed are conditions on ω necessary and sufficient for the (dyadic) Hardy-Littlewood maximal function to map L log L(w dx) into L1(ω dx) or into weak L1.

Additional Information

In memory of Irving L. Glicksberg, April 1, 1925-November 30, 1983. Received February 18,1984. Research supported in part by NSF grants.

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Created:
August 22, 2023
Modified:
October 13, 2023