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MR2737263 42B30 (42B20 42B25 42B37)
Yang, Dachun; Zhou, Yuan Localized Hardy spaces $H^1$ related to admissible functions on RD-spaces and applications to Schrödinger operators. Trans. Amer. Math. Soc. 363 (2011), no. 3, 1197–1239.
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