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Duality of H 1 and BMO on positively curved manifolds and their characterizations

Part of the Lecture Notes in Mathematics book series (2803,volume 1494)

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.

Key words

  • H1(M) space
  • BMO space
  • characterizations
  • duality
  • atomic decomposition

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54901-7

  • Online ISBN: 978-3-540-46474-7

  • eBook Packages: Springer Book Archive