Under boundedness of the local Hardy-Littlewood maximal operator, a function lies in a ball Banach function space exactly when its wavelet square function does, with equivalent norms.
Extrapolation and Factorization
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A modestly revised version of lecture notes that were distributed to accompany my four lectures at the 2017 Spring School of Analysis at Paseky, sponsored by Charles University, Prague. They are an introductory survey of Rubio de Francia extrapolation, Jones factorization, and applications.
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Applications of extrapolations to wavelet characterization of various function spaces and extension operators
Under boundedness of the local Hardy-Littlewood maximal operator, a function lies in a ball Banach function space exactly when its wavelet square function does, with equivalent norms.