Interpolation for martingale Hardy spaces over weighted measure spaces |
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| Authors: | Y Jiao P -D Liu L -H Peng |
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| Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
2. Department of Mathematics, Yunyany Teacher’s College, Shiyan, 442000, China
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| Abstract: | Several interpolation theorems on martingale Hardy spaces over weighted measure spaces are given. Our proofs are based on the atomic decomposition of martingale Hardy spaces over weighted measure spaces. As applications of interpolation theorems, some inequalities of martingale transform operator are obtained. |
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