Sharp constants in the classical weak form of the John-Nirenberg inequality
نویسندگان
چکیده
منابع مشابه
The John–Nirenberg inequality with sharp constants Meilleures constantes dans l’inégalité de John–Nirenberg
Article history: Received 14 March 2013 Accepted after revision 3 July 2013 Available online 29 July 2013 Presented by Yves Meyer We consider the one-dimensional John–Nirenberg inequality: ∣∣{x ∈ I0: ∣∣ f (x)− f I0 ∣∣>α}∣∣ C1|I0|exp ( − C2 ‖ f ‖∗ α ) . A. Korenovskii found that the sharp C2 here is C2 = 2/e. It is shown in this paper that if C2 = 2/e, then the best possible C1 is C1 = 2 e4/e. ©...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2013
ISSN: 0024-6115
DOI: 10.1112/plms/pdt063