On generalized Fatou theorems for the square root of the Poisson kernel and in rank one symmetric space

Olof Svensson

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 3, page 467-482
  • ISSN: 0391-173X

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Svensson, Olof. "On generalized Fatou theorems for the square root of the Poisson kernel and in rank one symmetric space." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.3 (1996): 467-482. <http://eudml.org/doc/84237>.

@article{Svensson1996,
author = {Svensson, Olof},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Fatou theorem; nontangential domains; Poisson integral; maximal functions; Riemannian symmetric spaces},
language = {eng},
number = {3},
pages = {467-482},
publisher = {Scuola normale superiore},
title = {On generalized Fatou theorems for the square root of the Poisson kernel and in rank one symmetric space},
url = {http://eudml.org/doc/84237},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Svensson, Olof
TI - On generalized Fatou theorems for the square root of the Poisson kernel and in rank one symmetric space
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 3
SP - 467
EP - 482
LA - eng
KW - Fatou theorem; nontangential domains; Poisson integral; maximal functions; Riemannian symmetric spaces
UR - http://eudml.org/doc/84237
ER -

References

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  2. [2] G.B. Folland - E.M. Stein, Hardy Spaces on Homogeneous Groups, Princeton University Press, Princeton, 1982. Zbl0508.42025MR657581
  3. [3] S. Helgason, Differential geometry, Lie groups, and Symmetric Spaces, Academic Press, 1978. Zbl0451.53038MR514561
  4. [4] B.A. Mair - S. Philipp - D. Singman, Generalized local Fatou theorems and area integrals, Trans. Amer. Math. Soc.321 (1990), 401-413. Zbl0707.31010MR974520
  5. [5] A. Nagel - E.M. Stein, On certain maximal functions and approach regions, Adv. in Math.54 (1984), 83-106. Zbl0546.42017MR761764
  6. [6] P. Sjögren, Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk, J. Reine. Angew. Math.345 (1983), 93-110. Zbl0512.43005MR717888
  7. [7] P. Sjögren, Une remarque sur la convergence des fonctions propres du laplacien à valeur prope critique, pp. 544-548. In "Théorie du potentiel" ed. G. Mokobodzki and D. Pinchon, Lecture Notes in Mathematics1096, Springer, 1984. Zbl0563.31003MR890377
  8. [8] P. Sjögren, Asymptotic behaviour of generalized Poisson integrals in rank one symmetric spaces and in trees, Ann. Scuola Norm., Sup. Pisa Cl. Sci.15 (1988), 99-113. Zbl0696.43008MR1001031
  9. [9] E.M. Stein, Boundary behavior of harmonic functions on symmetric space: Maximal estimates for Poisson integrals, Invent. math.74 (1983), 63-83. Zbl0522.43007MR722726
  10. [10] J. Sueiro, On maximal functions and Poisson-Szegö integrals, Trans. Amer. Math. Soc.298 (1986), 653-669. Zbl0612.32007MR860386
  11. [11] O. Svensson, Extensions of Fatou theorems in products of upper-halfspaces, Math. Scand.76 (1995), 139-151. Zbl0841.42008MR1345094

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