Abstract
We characterize the dual spaces of weak martingale Hardy–Lorentz–Karamata spaces. As an application, we obtain a weak type John–Nirenberg theorem when the stochastic basis is regular. We also extend the boundedness of fractional integrals to the setting of martingale Hardy–Lorentz–Karamata spaces.
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Liu, K., Zhou, D. Dual spaces of weak martingale Hardy–Lorentz–Karamata spaces. Acta Math. Hungar. 151, 50–68 (2017). https://doi.org/10.1007/s10474-016-0670-6
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DOI: https://doi.org/10.1007/s10474-016-0670-6