Mixed atomic decomposition of martingale weak Hardy–Morrey spaces

Lin Yu and Xiao Yu

Statistics & Probability Letters, 2020, vol. 164, issue C

Abstract: The so-called mixed-type atomic decomposition theorems are established for martingale weak Hardy–Morrey spaces wHMp,ϕs, wHMp,ϕ∗ and wHMp,ϕS, respectively. As applications, a sufficient condition for sublinear operators on martingale weak Hardy–Morrey spaces to be bounded is given. In particular, some classical martingale inequalities, including Burkholder’s inequality, are extended to the case of the weak Morrey space quasi-norms.

Keywords: Martingale; Atomic decomposition; Hardy space; Morrey space (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spl.2020.108804

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