Open AccessThe Riesz “rising sun” lemma for arbitrary Borel measures with some applications
Author(s) -
Lasha Ephremidze,
Nobuhiko Fujii,
Yutaka Terasawa
Publication year - 2007
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2007/746031
Subject(s) - lemma (botany) , mathematics , poaceae , ecology , biology
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 (1,1) type inequality for the corresponding Hardy-Littlewood maximal operator
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