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Real interpolations for martingale Hardy-Orlicz-Lorentz spaces - MaRDI portal

Real interpolations for martingale Hardy-Orlicz-Lorentz spaces (Q6060929)

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scientific article; zbMATH DE number 7761225
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Real interpolations for martingale Hardy-Orlicz-Lorentz spaces
scientific article; zbMATH DE number 7761225

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    Real interpolations for martingale Hardy-Orlicz-Lorentz spaces (English)
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    6 November 2023
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    Summary: The purpose of this paper is to provide a new proof of real interpolations for martingale Hardy-Orlicz-Lorentz spaces. Different from the usual proof, our approach does not rely on any atomic decompositions. Instead, we establish the result via new Holmstedt's formulae in martingale Hardy-Orlicz type spaces.
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    martingales
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    Orlicz functions
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    Holmstedt's formulae
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    real interpolations
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    Orlicz-Lorentz spaces
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