The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

Abstract Our goal is to obtain the John–Nirenberg inequality for ball Banach function spaces X, provided that the Hardy–Littlewood maximal operator M is bounded on the associate space X′ $X'$ by using the extrapolation. As an application we characterize BMO, the bounded mean oscillation, via th...

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Bibliographic Details
Main Authors: Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2220-6