Weighted Hardy–Orlicz-amalgam spaces of martingales

Lin Yu and Xue Mi

Statistics & Probability Letters, 2024, vol. 206, issue C

Abstract: Basing on the Wiener amalgam spaces, the purpose of this paper is to introduce the weighted Hardy–Orlicz-amalgam spaces of martingales and to establish the atomic decomposition theorem. As an application, we obtain a duality theorem, namely, the dual of martingale weighted Hardy–Orlicz-amalgam spaces are generalized martingale weighted amalgam Campanato spaces.

Keywords: Martingale; Wiener amalgam spaces; Hardy–Orlicz-amalgam spaces (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2023.109995

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