Martingale transforms on Banach function spaces

Martingale transforms on Banach function spaces

We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund. The main result also yields the boundedness of the martingale transforms on rearrangement-invariant Banach function spaces, Orl...

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Bibliographic Details
Main Author: Kwok-Pun Ho
Format: Article
Language:English
Published: AIMS Press 2022-04-01
Series:Electronic Research Archive
Subjects:
martingale transform
banach function spaces
orlicz spaces
lorentz-karamata spaces
variable lebesgue spaces
morrey spaces
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022114?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022114?viewType=HTML

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