Bibliography for Schwarz Lemma

unabridged

 

  1. A multi-point Schwarz-Pick lemma.
    Beardon, A. F.; Minda, D.
    J. Anal. Math. 92 (2004), 81--104, MathSciNet.  
  2. A Schwarz lemma and composition operators.
    Mackey, M.; Mellon, P.
    Integral Equations Operator Theory 48 (2004), no. 4, 511--524, MathSciNet.  
  3. A generalization of the Schwarz lemma to normal selfmaps of complex spaces.
    Joseph, James E.; Kwack, Myung H.
    J. Austral. Math. Soc. Ser. A 68 (2000), no. 1, 10--18, MathSciNet.  Abate) 32H50 (32Q45 37F99)
  4. A Schwarz Lemma for Multivalued Functions and Distortion Theorems for Bloch Functions with Branch Points  
    Ian Graham; David Minda
    Transactions of the American Mathematical Society, Vol. 351, No. 12 (Dec., 1999), pp. 4741-4752, Jstor.   
  5. On a Schwarz lemma for bounded symmetric domains.
    Kaup, Wilhelm
    Math. Nachr. 197 (1999), 51--60, MathSciNet.  
  6. Lemme de Schwarz réel et applications géométriques. (French)
    Besson, Gérard; Courtois, Gilles; Gallot, Sylvestre
    [The real Schwarz lemma and geometric applications]
    Acta Math. 183 (1999), no. 2, 145--169, MathSciNet.  
  7. The Schwarz-Pick Lemma for Derivatives  
    A. F. Beardon
    Proceedings of the American Mathematical Society, Vol. 125, No. 11 (Nov., 1997), pp. 3255-3256, Jstor.   
  8. Sharpened Versions of the Schwarz Lemma
    Mercer P.R.
    Journal of Mathematical Analysis and Applications, 15 January 1997, vol. 205, no. 2, pp. 508-511(4), Ingenta.
  9. A Schwarz Lemma for Convex Domains in Arbitrary Banach Spaces
    Bernal-Gonzalez L.
    Journal of Mathematical Analysis and Applications, 1 June 1996, vol. 200, no. 2, pp. 511-517(7), Ingenta.
  10. A generalization of Schwarz's lemma.
    Cristea, Mihai
    Rev. Roumaine Math. Pures Appl. 42 (1997), no. 3-4, 235--244, MathSciNet.  
  11. A Schwarz lemma on complex ellipsoids.
    Hamada, Hidetaka
    Ann. Polon. Math. 67 (1997), no. 3, 269--275, MathSciNet.  
  12. Principe du maximum et lemme de Schwarz à valeurs vectorielles. (French)
    [Maximum principle and vector-valued Schwarz lemma]
    Mazet, Pierre
    Canad. Math. Bull. 40 (1997), no. 3, 356--363, MathSciNet.  
  13. Un lemme de Schwarz pour les boules-unités ouvertes. (French)
    [A Schwarz lemma for open unit balls]
    Vigué, Jean-Pierre
    Canad. Math. Bull. 40 (1997), no. 1, 117--128, MathSciNet.  
  14. Holomorphic mappings, the Schwarz-Pick lemma, and curvature.
    Goloff, David; To, Wing-Keung
    Michigan Math. J. 42 (1995), no. 1, 3--15, MathSciNet.  
  15. Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary  
    Daniel M. Burns; Steven G. Krantz
    Journal of the American Mathematical Society, Vol. 7, No. 3 (Jul., 1994), pp. 661-676, Jstor.   
  16. The Discrete Schwarz-Pick Lemma for Overlapping Circles  
    Jeff Van Eeuwen
    Proceedings of the American Mathematical Society, Vol. 121, No. 4 (Aug., 1994), pp. 1087-1091, Jstor.   
  17. The Uniformization of Rectangles, an Exercise in Schwarz's Lemma  
    John A. Velling
    The American Mathematical Monthly, Vol. 99, No. 2 (Feb., 1992), pp. 112-115, Jstor.   
  18. Sur le lemme de Schwarz en dimension infinie. (French)
    [On the Schwarz lemma in infinite dimension]
    Prieto, Ángeles
    C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), no. 10, 741--742, MathSciNet.  
  19. Schwarz's Lemma and Hermitian manifolds with constant holomorphic curvature
    Wong, B.
    Proceedings of Symposia in Pure Mathematics, 1991, p 593, Compendex.
  20. Un lemme de Schwarz pour les domaines bornés symétriques irréductibles et certains domaines bornés strictement convexes. (French)
    [A Schwarz lemma for irreducible bounded symmetric domains and certain strictly convex bounded domains]
    Vigué, Jean-Pierre
    Indiana Univ. Math. J. 40 (1991), no. 1, 293--304, MathSciNet.  
  21. Infinitesimal Pseudo-Metrics and the Schwarz Lemma  
    M. Klimek
    Proceedings of the American Mathematical Society, Vol. 105, No. 1 (Jan., 1989), pp. 134-140, Jstor.   
  22. The Schwarz lemma.
    Dineen, Seán
    Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1989. x+248 pp., MathSciNet.  
  23. Schwarz's lemma for circle packings. II.
    Rodin, Burt
    J. Differential Geom. 30 (1989), no. 2, 539--554, MathSciNet.  
  24. Maximum principle and Schwarz lemma for the Möbius and Carathéodory distances on bounded complete circular domains in Cn.
    Hristov, V. Z.
    C. R. Acad. Bulgare Sci. 41 (1988), no. 8, 13--16, MathSciNet.  
  25. The Ahlfors-Schwarz lemma: the case of equality.
    Royden, H. L.
    J. Analyse Math. 46 (1986), 261--270, MathSciNet.  
  26. Schwarz's Lemma For n-Ports.
    Reza, F. M.  
    Journal of the Franklin Institute, v 317, n 2, Feb, 1984, p 57-71, Compendex.  
  27. An Analogue of the Schwarz Lemma for Bounded Symmetric Domains  
    Giancarlo Travaglini
    Proceedings of the American Mathematical Society, Vol. 88, No. 1 (May, 1983), pp. 85-88, Jstor.   
  28. A Schwarz lemma for complex surfaces.
    Vaisman, Izu
    Global analysis--analysis on manifolds, 305--323, Teubner-Texte Math., 57, Teubner, Leipzig, 1983, MathSciNet.  
  29. A Generalization of the Ahlfors-Schwarz Lemma  
    Scott Wolpert
    Proceedings of the American Mathematical Society, Vol. 84, No. 3 (Mar., 1982), pp. 377-378, Jstor.   
  30. Schwarz's Lemma For N-Ports.
    Reza, F.  
    Scanning Electron Microscopy (Proceedings of the Annual Scanning Electron Microscope Symposium), v 4, 1981, p 240-243, Compendex.
  31. A General Schwarz Lemma for Kahler Manifolds  
    Shing-Tung Yau
    American Journal of Mathematics, Vol. 100, No. 1 (Feb., 1978), pp. 197-203, Jstor.   
  32. Schwarz' lemma and convergent series.
    Maddox, I. J.
    Indian J. Math. 20 (1978), no. 1, 25--27, MathSciNet.  
  33. A general Schwarz lemma for Riemannian-manifolds.
    Goldberg, Samuel I.; Har'El, Zvi
    Bull. Soc. Math. Grèce (N.S.) 18 (1977), no. 1, 141--148, MathSciNet.  
  34. A Schwarz Lemma for Canonical Algebraic Manifolds  
    Myung H. Kwack
    Proceedings of the American Mathematical Society, Vol. 41, No. 1 (Nov., 1973), pp. 219-222, Jstor.   
  35. Schwarz lemma.
    Kobayashi, Shoshichi
    Symmetric spaces (Short Courses, Washington Univ., St. Louis, Mo., 1969--1970), pp. 247--254. Pure and Appl. Math., Vol. 8, Dekker, New York, 1972, MathSciNet.  
  36. Schwarz's lemma for vector-valued analytic functions.
    Fisher, Stephen
    J. Functional Analysis 8 1971 86--94, MathSciNet.  
  37. Quasiconformal Mappings and Schwarz's Lemma  
    Peter J. Kiernan
    Transactions of the American Mathematical Society, Vol. 148, No. 1 (Mar., 1970), pp. 185-197, Jstor.   
  38. Schwarz's Lemma in Normed Linear Spaces  
    Lawrence A. Harris
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 62, No. 4 (Apr., 1969), pp. 1014-1017, Jstor.   
  39. On Schwarz's Lemma and Inner Functions  
    Stephen D. Fisher
    Transactions of the American Mathematical Society, Vol. 138 (Apr., 1969), pp. 229-240, Jstor.   
  40. Some Applications Of Schwarz's Lemma
    Beccari C.
    Alta Frequenza, v 38, n 11, Nov, 1969, p 902-5, Compendex.
  41. Generalization of Schwarz-Pick Lemma to Invariant Volume in a Kahler Manifold  
    K. T. Hahn; Josephine Mitchell
    Transactions of the American Mathematical Society, Vol. 128, No. 2 (Aug., 1967), pp. 221-231, Jstor.   
  42. A Schwarz Lemma for Bounded Symmetric Domains  
    Adam Koranyi
    Proceedings of the American Mathematical Society, Vol. 17, No. 1 (Feb., 1966), pp. 210-213, Jstor.   
  43. Volume elements, holomorphic mappings and Schwarz's lemma.
    Kobayashi, Shoshichi
    1968 Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., LaJolla, Calif., 1966) pp. 253--260 Amer. Math. Soc., Providence, R.I., MathSciNet.  
  44. Schwarz's lemma in the Hardy class H1.
    Akutowicz, Edwin J.
    Rend. Circ. Mat. Palermo (2) 8 1959 185--191, MathSciNet.  
  45. Schwarz's Lemma and a Singularity of Briot-Bouquet  
    Aurel Wintner
    American Journal of Mathematics, Vol. 79, No. 4 (Oct., 1957), pp. 778-796, Jstor.   
  46. Schwarz's Lemma and the Szego Kernel Function  
    P. R. Garabedian
    Transactions of the American Mathematical Society, Vol. 67, No. 1 (Sep., 1949), pp. 1-35, Jstor.   
  47. Continuous Groups and Schwarz' Lemma  
    Max Zorn
    Transactions of the American Mathematical Society, Vol. 46, No. 1 (Jul., 1939), pp. 1-22, Jstor.   
  48. An Extension of Schwarz's Lemma  
    Lars V. Ahlfors
    Transactions of the American Mathematical Society, Vol. 43, No. 3 (May, 1938), pp. 359-364, Jstor.   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006