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Extrapolation, John-Nirenberg inequalities and characterizations of \({\mathbf {BMO}}\) in terms of Morrey type spaces

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Abstract

We extend the extrapolation theory to Morrey spaces associated with Banach function spaces. Some applications by this theory such as the Fefferman–Stein vector-valued maximal inequalities are obtained. By using this extrapolation theory, we obtain the John-Nirenberg inequalities on Morrey spaces associated with Banach function spaces. In addition, by using the John-Nirenberg inequalities, we have the characterizations of the function spaces of bounded mean oscillation in terms of Morrey spaces associated with Banach function spaces.

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  1. Department of Mathematics and Information Technology, The Education University Hong Kong, 10, Lo Ping Road, Tai Po, Hong Kong, China

    Kwok-Pun Ho

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Ho, KP. Extrapolation, John-Nirenberg inequalities and characterizations of \({\mathbf {BMO}}\) in terms of Morrey type spaces. Rev Mat Complut 30, 487–505 (2017). https://doi.org/10.1007/s13163-016-0216-z

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  • DOI: https://doi.org/10.1007/s13163-016-0216-z

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