The John–Nirenberg inequality in ball Banach function spaces and application to characterization of BMO
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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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2018 ◽
Vol 61
(3)
◽
pp. 759-810
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2018 ◽
Vol 157
(2)
◽
pp. 408-433
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