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Atomic Hardy spaces on semisimple Lie groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1243)

Keywords

  • Symmetric Space
  • Hardy Space
  • Weak Type
  • Maximal Compact Subgroup
  • Homogeneous Type

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References

  1. R.R. Coifman: A real variable characterization of HP, Studia Math., 51 (1974), 269–274.

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  2. R.R. Coifman and G. Weiss: Extensions of Hardy space and their use in analysis, Bull. Amer. Math. Soc., 83 (1977), 569–645.

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  4. G.B. Folland and E.M. Stein: Hardy spaces on homogeneous groups, Math. Notes, Princeton Univ. Press, 28 (1982).

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  5. T. Kawazoe: Atomic Hardy spaces on semisimple Lie groups, to appear.

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  6. E.M. Stein: Singular integrals and differentiability properties of functions, Princeton Univ. Press (1970).

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  7. Jan-Olov Strömberg: Weak type L1 estimates for maximal functions on non-compact symmetric spaces, Ann. of Math., 114 (1981), 115–126.

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© 1987 Springer-Verlag

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Kawazoe, T. (1987). Atomic Hardy spaces on semisimple Lie groups. In: Carmona, J., Delorme, P., Vergne, M., M.I.T. (eds) Non-Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073023

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  • DOI: https://doi.org/10.1007/BFb0073023

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17701-2

  • Online ISBN: 978-3-540-47775-4

  • eBook Packages: Springer Book Archive