Theoretical analysis demonstrates Rubio de Francia extrapolation in grand ball Banach function spaces, establishing boundedness for one-sided harmonic analysis operators.
Rubio de Francía’s extrapolation results are presented in one-sided setting, generally speaking, in grand ball Banach function spaces. These results can be applied, for example, to obtain the boundedness of one-sided operators of Harmonic Analysis for those operators for which one-sided Muckenhoupt condition guarantees the one–weight inequality.
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Capone et al. (2026) studied this question.
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