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Abstract: We prove that atomic decomposition for the Hardy spaces h 1 and H 1 is validfor noncommutative martingales. We also establish that the conditioned Hardyspaces of noncommutative martingales h p and bmo form interpolation scales withrespect to both complex and real interpolations.



Author: Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin, Zhi Yin

Source: https://arxiv.org/



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