BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces

Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn. As a consequence, we have BMOℝn=αlnω:α≥0,ω∈ALp·ℝnℝn, where Lp·ℝn is the variable exponent Lebesgue...

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Bibliographic Details
Main Authors: Ruimin Wu, Songbai Wang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6626787