Lasha Ephremidze, Nobuhiko Fujii, Yutaka Terasawa, "The Riesz “rising sun” lemma for arbitrary Borel measures with some applications", Journal of Function Spaces, vol. 5, Article ID 746031, 13 pages, 2007. https://doi.org/10.1155/2007/746031
The Riesz “rising sun” lemma for arbitrary Borel measures with some applications
The Riesz “rising sun” lemma is proved for arbitrary locally finite Borel measures on the real line. The result is applied to study an attainability problem of the exact constant in a weak type inequality for the corresponding Hardy-Littlewood maximal operator.
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