Atomic decompositions, dual spaces and interpolations of martingale Hardy-Lorentz-Karamata spaces

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Abstract

We introduce the martingale Hardy–Lorentz-Karamata spaces. The atomic decompositions of these martingale function spaces are established. The dual spaces are identified and some interpolation properties of the martingale Hardy–Lorentz–Karamata spaces are obtained. Copyright © 2013 Oxford University Press. All rights reserved.
Original languageEnglish
Pages (from-to)985-1009
JournalThe Quarterly Journal of Mathematics
Volume65
Issue number3
Early online dateAug 2013
DOIs
Publication statusPublished - Sep 2014

Citation

Ho, K.-P. (2014). Atomic decompositions, dual spaces and interpolations of martingale Hardy-Lorentz-Karamata spaces. The Quarterly Journal of Mathematics, 65(3), 985-1009.

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