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Interpolation of martingale Orlicz–Hardy spaces

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Abstract

We investigate the real interpolation spaces between martingale Orlicz–Hardy spaces \(H_{\Phi}^s\) and martingale Hardy spaces \(H_{\infty}^s\) via atomic decomposition. Moreover, its corresponding weak version is also established.

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Correspondence to D. Zhou.

Additional information

Long Long is supported by the Natural Science Foundation of China(Grant No. 11501580).

Hongli Tian is supported by the Fundamental Research Funds for the Central Universities of Central South University (No. 2019zzts116).

Dejian Zhou is supported by NSFC (11701574).

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Long, L., Tian, H. & Zhou, D. Interpolation of martingale Orlicz–Hardy spaces. Acta Math. Hungar. 163, 276–294 (2021). https://doi.org/10.1007/s10474-020-01097-4

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  • DOI: https://doi.org/10.1007/s10474-020-01097-4

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