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… Click to show full 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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