Harmonic functions on classical rank one balls

Philippe Jaming

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 3, page 685-702
  • ISSN: 0392-4041

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Jaming, Philippe. "Harmonic functions on classical rank one balls." Bollettino dell'Unione Matematica Italiana 4-B.3 (2001): 685-702. <http://eudml.org/doc/194993>.

@article{Jaming2001,
author = {Jaming, Philippe},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {685-702},
publisher = {Unione Matematica Italiana},
title = {Harmonic functions on classical rank one balls},
url = {http://eudml.org/doc/194993},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Jaming, Philippe
TI - Harmonic functions on classical rank one balls
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/10//
PB - Unione Matematica Italiana
VL - 4-B
IS - 3
SP - 685
EP - 702
LA - eng
UR - http://eudml.org/doc/194993
ER -

References

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  1. AHERN, P.- BRUNA, J.- CASCANTE, C., H p -theory for generalized M -harmonic functions in the unit ball, Indiana Univ. Math. J., 45 (1996), 103-145. Zbl0866.32007MR1406686
  2. BONAMI, A.- BRUNA, J.- GRELLIER, S., On Hardy, BMO and Lipschitz spaces of invariant harmonic functions in the unit ball, Proc. London Math. Soc., 77 (1998), 665-696. Zbl0904.31007MR1643425
  3. DAMEK, E.- HULANICKI, A.- MÜLLER, D.- PELOSO, M., Pluriharmonic H 2 functions on symmetric irreducible Siegel domains, Preprint, 1998. Zbl0969.31007
  4. ERDÉLY et al, editor, Higher Transcendental Functions I, Mac Graw Hill, 1953. 
  5. S. HELGASON, editor, Differential geometry and symetric spaces, Academic Press, 1962. Zbl0111.18101MR145455
  6. HELGASON, S., Eigenspaces of the Laplacian; integral representations and Irreducibility, Jour. Func. Anal., 17 (1974), 328-353. Zbl0303.43021
  7. JAMING, PH., Harmonic functions on the real hyperbolic ball I: Boundary values and atomic decomposition of Hardy spaces, Coll. Math., 80 (1999), pp. 63-82. Zbl0930.43012MR1684571
  8. JOHNSON, K. D.- WALLACH, N., Composition series and intertwining operators for the spherical principle series I, Trans. Amer. Math. Soc., 229 (1977), 137-173. Zbl0349.43010MR447483
  9. LEWIS, J. B., Eigenfunctions on symmetric spaces with distribution-valued boundary forms, Jour. Func. Anal., 29 (1978), 287-307. Zbl0398.43010MR512246
  10. MINEMURA, K., Harmonic functions on real hyperbolic spaces, Hiroshima Math. J., 3 (1973), 121-151. Zbl0274.31004MR333603
  11. RUDIN, W., Function Theory in the Unit Ball of C n , Springer, 1980. Zbl0495.32001MR2446682

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