$H^ p$-classes on rank one symmetric spaces of noncompact type. I. Nontangential and probabilistic maximal functions
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- Trans. Amer. Math. Soc. 294 (1986), 133-149 Request permission
Abstract:
Two kinds of ${H^p}$-classes of harmonic functions are defined on a general rank one symmetric space of noncompact type. The first one is introduced by using a nontangential maximal function. The second is related to the diffusion generated by the Laplace-Beltrami operator. The equivalence of the two classes is proven for $0 < p < \infty$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 294 (1986), 133-149
- MSC: Primary 43A85; Secondary 22E30, 32A35, 58G32, 60J65
- DOI: https://doi.org/10.1090/S0002-9947-1986-0819939-5
- MathSciNet review: 819939