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… Click to show full 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 the norm of X.
               
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