Punishing Factors for Finitely Connected Domains
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  • 作者:F. G. Avkhadiev (A1)
    K.-J. Wirths (A2)
  • 关键词:2000 Mathematics Subject Classification ; 30C80 ; 30C55 ; Key words ; Schwarz ; Pick Lemma ; derivatives of arbitrary order ; hyperbolic radius
  • 刊名:Monatshefte f眉r Mathematik
  • 出版年:2006
  • 出版时间:February 2006
  • 年:2006
  • 卷:147
  • 期:2
  • 页码:103-115
  • 全文大小:113KB
  • 参考文献:1. Ahlfors LV (1973) Conformal Invariants, Topics in Geometric Function Theory. New York: McGraw-Hill
    2. Avkhadiev, FG, Wirths, KJ (2003) Schwarz-Pick inequalities for derivatives of arbitrary order.. Constr Approx 19: pp. 265-277 f="http://dx.doi.org/10.1007/s00365-002-0503-4">CrossRef
    3. Avkhadiev, FG, Wirths, KJ (2004) Schwarz-Pick inequalities for hyperbolic domains in the extended plane.. Geom Dedicata 106: pp. 1-10 f="http://dx.doi.org/10.1023/B:GEOM.0000033833.91747.19">CrossRef
    4. Avkhadiev, FG, Wirths, KJ (2003) Punishing factors for angles.. Comp Methods Function Theory 3: pp. 127-141
    5. Bandle, C, Flucher, M (1996) Harmonic radius and concentration of energy, hyperbolic radius and Liouville鈥檚 equation 螖U = e U and $\Delta U=U^{\frac{n+2}{n-2}}$ .. SIAM Review 38: pp. 191-238 f="http://dx.doi.org/10.1137/1038039">CrossRef
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    11. Gardiner, FP, Lakic, N (2001) Comparing Poincar茅 densities.. Ann Math 154: pp. 245-267
    12. Harmelin, R, Minda, D (1992) Quasi-invariant domain constants.. Israel J Math 77: pp. 115-127
    13. Jenkins, JA (1962) On a conjecture of Goodman concerning meromorphic univalent functions.. Michigan Math J 9: pp. 25-27
    14. Landau, E (1925/26) Einige Bemerkungen 眉ber schlichte Abbildungen.. Jber Deutsche Math Verein 34: pp. 239-243
    15. MacCluer, B, Stroethoff, K, Zhao, R (2002) Generalized Schwarz-Pick estimates.. Proc Amer Math Soc 131: pp. 593-599
    16. MacCluer, B, Stroethoff, K, Zhao, R (2003) Schwarz-Pick estimates.. Complex Var Theory Appl 48: pp. 711-730
    17. Paulsen, V, Popescu, G, Singh, D (2002) On Bohr鈥檚 inequality.. Proc London Math Soc (3) 85: pp. 493-512
    18. Pommerenke C (1975) Univalent Functions. G枚ttingen: Vandenhoeck & Ruprecht
    19. Pommerenke, C (1979) Uniformly perfect sets and the Poincar茅 metric.. Arch Math 32: pp. 192-199 f="http://dx.doi.org/10.1007/BF01238490">CrossRef
    20. Pommerenke C (2002) Personal communication
    21. Ruscheweyh, S (1974) 脺ber einige Klassen im Einheitskreis holomorpher Funktionen.. Berichte der mathematisch-statistischen Sektion im Forschungszentrum Graz 7: pp. 1-12
    22. Ruscheweyh, S (1985) Two remarks on bounded analytic functions.. Serdica, Bulg Math Publ 11: pp. 200-202
    23. Szasz, O (1920) Ungleichheitsbeziehungen f眉r die Ableitungen einer Potenzreihe, die eine im Einheitskreis beschr盲nkte Funktion darstellt.. Math Z 8: pp. 303-309
    24. Yamashita, S (2000) Higher derivatives of holomorphic functions with positive real part.. Hokkaido Math J 29: pp. 23-36
  • 作者单位:F. G. Avkhadiev (A1)
    K.-J. Wirths (A2)

    A1. Kazan State University, Kazan, Russia
    A2. Technische Universit盲t Braunschweig, Germany
  • ISSN:1436-5081
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