Local Fatou theorem and area theorem for symmetric spaces of rank one

Author:

Korányi A.,Putz R. B.

Abstract

The classical results for the unit disc mentioned in the title are extended to harmonic functions on symmetric spaces of rank one.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. A. P. Calderón, On the behavior of harmonic functions at the boundary, Trans. Amer. Math. Soc. 68 (1950), 47-54. MR 11, 357.

2. Pure and Applied Mathematics, Vol. XII;Helgason, Sigurđur,1962

3. Duality and Radon transform for symmetric spaces;Helgason, S.;Amer. J. Math.,1963

4. Harmonic functions on Hermitian hyperbolic space;Korányi, Adam;Trans. Amer. Math. Soc.,1969

5. Boundary behavior of Poisson integrals on symmetric spaces;Korányi, Adam;Trans. Amer. Math. Soc.,1969

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