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Characterization of Parabolic Hardy Spaces by Littlewood–Paley Functions

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Abstract

We consider Littlewood–Paley functions associated with non-isotropic dilations. We prove that they can be used to characterize the parabolic Hardy spaces of Calderón–Torchinsky.

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Correspondence to Shuichi Sato.

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The author is partly supported by Grant-in-Aid for Scientific Research (C) No. 25400130, Japan Society for the Promotion of Science.

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Sato, S. Characterization of Parabolic Hardy Spaces by Littlewood–Paley Functions. Results Math 73, 106 (2018). https://doi.org/10.1007/s00025-018-0867-9

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  • DOI: https://doi.org/10.1007/s00025-018-0867-9

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