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A note on a covering lemma of A. Cordoba and R. Fefferman. (English) Zbl 0671.42019

Summary: This note simplifies Cordoba-Fefferman’s proof on the weak boundedness of strong maximal operator \(M_ s\) (with respect to \(d\mu)\) on \(L(1+\log^{+(n-1)}L)\). Some two-weighted boundedness results on \(L(1+\log^{+\alpha}L)\) of \(M_ s\) are investigated.

MSC:

42B25 Maximal functions, Littlewood-Paley theory
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