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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The project was supported by the National Natural Science Foundation of China (No. 10671147).
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Jiao, Y., Liu, P.D. & Peng, L.H. Interpolation for martingale Hardy spaces over weighted measure spaces. Acta Math Hung 120, 127–139 (2008). https://doi.org/10.1007/s10474-008-7114-x
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DOI: https://doi.org/10.1007/s10474-008-7114-x