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 language | English |
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Pages (from-to) | 985-1009 |
Journal | The Quarterly Journal of Mathematics |
Volume | 65 |
Issue number | 3 |
Early online date | Aug 2013 |
DOIs | |
Publication status | Published - Sept 2014 |