Abstract
A new maximal funtion is introduced in the dual spaces of test function spaces on spaces of homogeneous type. Using this maximal function, we get new characterization of atomic Hp spaces.
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Coifman, R. R. and Weiss, G., Extensions of Hardy spaces and their use in analysis. Bull. Amer. Math. Soc. 83 (1977), 569–645.
Han, Y. S. and Sawyer, E. T., Littlewood-Paley theory on spaces of homogeneous type and classical function spaces. Mem. Amer. Math. Soc. 110 (1994), 1–136.
Macias, R. A. and Segovia, C., Lipschitz function on spaces of homogeneous type, Adv. Math. 33 (1979), 257–270.
Macias, R. A. and Segovia, C., A decomposition into atoms of distribution on spaces of homogeneous type. Adv. Math., 33 (1979), 271–309.
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This work is supported by NSF.
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Wenming, L. A maximal function characterization of Hardy spaces on spaces of homogeneous type. Approx. Theory & its Appl. 14, 12–27 (1998). https://doi.org/10.1007/BF02836925
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DOI: https://doi.org/10.1007/BF02836925