Journal of Inequalities and Applications (Oct 2019)

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

  • Mitsuo Izuki,
  • Takahiro Noi,
  • Yoshihiro Sawano

DOI
https://doi.org/10.1186/s13660-019-2220-6
Journal volume & issue
Vol. 2019, no. 1
pp. 1 – 11

Abstract

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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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