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Dual spaces of weak martingale Hardy–Lorentz–Karamata spaces

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.

Keywords: karamata spaces; lorentz karamata; hardy lorentz; martingale hardy

Journal Title: Acta Mathematica Hungarica
Year Published: 2017

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