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Weighted Hardy–Orlicz-amalgam spaces of martingales

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  • Yu, Lin
  • Mi, Xue

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.

Suggested Citation

  • Yu, Lin & Mi, Xue, 2024. "Weighted Hardy–Orlicz-amalgam spaces of martingales," Statistics & Probability Letters, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:stapro:v:206:y:2024:i:c:s0167715223002195
    DOI: 10.1016/j.spl.2023.109995
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    References listed on IDEAS

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    1. Lin Yu, 2016. "Duality theorem for B -valued martingale Orlicz–Hardy spaces associated with concave functions," Mathematische Nachrichten, Wiley Blackwell, vol. 289(5-6), pages 756-774, April.
    2. Yu, Lin & Yu, Xiao, 2020. "Mixed atomic decomposition of martingale weak Hardy–Morrey spaces," Statistics & Probability Letters, Elsevier, vol. 164(C).
    3. R. H. Fischer & A. T. Gürkanli & T. S. Liu, 1996. "On a family of Wiener type spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-10, January.
    4. Justice Sam Bansah, 2021. "Martingale Transforms between Martingale Hardy-amalgam Spaces," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-8, May.
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    1. Yu, Lin & Yu, Xiao, 2020. "Mixed atomic decomposition of martingale weak Hardy–Morrey spaces," Statistics & Probability Letters, Elsevier, vol. 164(C).

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