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. Copyright © 2016 Universidad Complutense de Madrid.
CitationHo, K.-P. (2017). Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of morrey type spaces. Revista Matemática Complutense, 30(3), 487-505.
- Morrey spaces
- Block spaces
- John-Nirenberg inequalities