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Three-parameter Hardy spaces associated with a sum of two flag singular integrals

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Abstract

The main purpose of this paper is to establish a Hardy space theory associated with a new multi-parameter structure and characterize this Hardy space as the intersection of flag Hardy spaces. The key idea used here is to identify the new kernels as sums of two flag kernels.

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Acknowledgements

We thank one of the anonymous referees for their careful work and thoughtful suggestions that have improved this paper substantially. This research was funded by National Natural Science Foundation of China (Grant No. 11671363).

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, China

    Shaoyong He & Jiecheng Chen

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  1. Shaoyong He
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  2. Jiecheng Chen
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Correspondence to Shaoyong He.

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Communicated by Jan van Neerven.

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He, S., Chen, J. Three-parameter Hardy spaces associated with a sum of two flag singular integrals. Banach J. Math. Anal. 14, 1363–1386 (2020). https://doi.org/10.1007/s43037-020-00067-w

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  • DOI: https://doi.org/10.1007/s43037-020-00067-w

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