Interpolation of Lorentz martingale spaces |
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Authors: | YanBo Ren TieXin Guo |
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Affiliation: | 1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471003, China 2. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, 100191, China
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Abstract: | In this paper, we apply function parameters, introduced by Persson, to real interpolation of Lorentz martingale spaces. Some new interpolation theorems concerning Lorentz martingale spaces are formulated. The results that we obtain generalize some fundamental interpolation theorems in classical martingale H p theory. |
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