Abstract
In this paper, we prove that on positively curved manifolds, the dual of H 1 is just BMO. We also obtain some norm characterizations of BMO and H 1, and atomic decomposition of H 1. They are generalizations of the corresponding theory on R n set up by C. Fefferman and E.M. Stein.
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© 1991 Springer-Verlag
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Jie-cheng, C., Cheng, L. (1991). Duality of H 1 and BMO on positively curved manifolds and their characterizations. In: Cheng, MT., Deng, DG., Zhou, XW. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 1494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087753
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DOI: https://doi.org/10.1007/BFb0087753
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