Commuting holomorphic maps in strongly convex domains

Filippo Bracci

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1998)

  • Volume: 27, Issue: 1, page 131-144
  • ISSN: 0391-173X

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Bracci, Filippo. "Commuting holomorphic maps in strongly convex domains." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 27.1 (1998): 131-144. <http://eudml.org/doc/84350>.

@article{Bracci1998,
author = {Bracci, Filippo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {commuting holomorphic maps; strongly convex domains},
language = {eng},
number = {1},
pages = {131-144},
publisher = {Scuola normale superiore},
title = {Commuting holomorphic maps in strongly convex domains},
url = {http://eudml.org/doc/84350},
volume = {27},
year = {1998},
}

TY - JOUR
AU - Bracci, Filippo
TI - Commuting holomorphic maps in strongly convex domains
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1998
PB - Scuola normale superiore
VL - 27
IS - 1
SP - 131
EP - 144
LA - eng
KW - commuting holomorphic maps; strongly convex domains
UR - http://eudml.org/doc/84350
ER -

References

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  3. [3] M. Abate, Angular derivatives in strongly pseudoconvex domains, Proc. Symp. in Pure Math.52 (1991), Part 2, 23-40. Zbl0741.32004MR1128532
  4. [4] M. Abate, J.P. Vigué, Common fixed points in hyperbolic Riemann surfaces and convex domains, Proc. Amer. Math. Soc.112 (1991), 503-512. Zbl0724.32012MR1065938
  5. [5] D.F. Behan, Commuting analytic functions without fixed points, Proc. Amer. Math. Soc.37 (1973), 114-120. Zbl0251.30009MR308378
  6. [6] F. Bracci, Common fixed points of commuting holomorphic maps in the unit ball of Cn, To appear in Proc. Amer. Math. Soc. Zbl0916.58006MR1610920
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  8. [8] J.A. Cima, S.G. Krantz, The Lindelöf principle and normalfunctions of several complex variables, Duke Math. J.50 (1983), 303-328. Zbl0522.32003MR700143
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  10. [10] C. De Fabritiis, Commuting holomorphic functions and hyperbolic automorphisms, Proc. Amer. Math. Soc.124 (1996), 3027-3037. Zbl0866.32004MR1371120
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  12. [12] A. Denjoy, Sur l'itération des fonctions analytiques, C.R. Acad. Sci. Paris182 (1926), 255-257. Zbl52.0309.04JFM52.0309.04
  13. [13] M.H. Heins, A generalization of the Aumann-CarathÇodory "Starrheitssatz", Duke Math. J.8 (1941), 312-316. Zbl0025.17301MR4912JFM67.0283.02
  14. [14] M. Jarnicki, P. Pflug, "Invariant distances and metrics in complex analysis", W. de Gruyter, Berlin-New York, 1993. Zbl0789.32001MR1242120
  15. [15] L. Lempert, La métrique de Kobayashi et la representation des domaines sur la boule, Bull. Soc. Math. France109 (1981), 427-474. Zbl0492.32025MR660145
  16. [16] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math.8 (1982), 257-261. Zbl0509.32015MR690838
  17. [17] A.L. Shields, On fixed points of commuting analytic functions, Proc. Amer. Math. Soc.15 (1964), 703-706. Zbl0129.29104MR165508
  18. [ 18] E.M. Stein, "Boundary behaviour of holomorphic functions of several complex variables", Princeton University Press, Princeton, 1972. Zbl0242.32005MR473215
  19. [19] T.J. Suffridge, Common fixed points of commuting holomorphic maps of the hyperball, Michigan Math. J.21 (1974), 309-314. Zbl0333.47026MR367661
  20. [20] J. Wolff, Sur l'iteration des fonctions bornées, C.R. Acad. Sci. Paris (1926), 200-201. Zbl52.0309.03JFM52.0309.03

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