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On Grunsky operator 被引量:2

On Grunsky operator
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摘要 We discuss the holomorphic dependance and the compactness of the Grunsky operator for a univalent function. We discuss the holomorphic dependance and the compactness of the Grunsky operator for a univalent function.
作者 Yu-liang SHEN
出处 《Science China Mathematics》 SCIE 2007年第12期1805-1817,共13页 中国科学:数学(英文版)
基金 This work was supported by the Program for the New Century Excellent Talents in Universities (Grant No.NCET-06-0504)
关键词 UNIVALENT function quasiconformal mapping Grunsky operator COMPACT operator Hilbert-Schmidt OPERATOR univalent function quasiconformal mapping Grunsky operator compact operator Hilbert-Schmidt operator
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同被引文献5

  • 1SHEN YuLiang Department of Mathematics, Soochow University, Suzhou 215006, China.Faber polynomials with applications to univalent functions with quasiconformal extensions[J].Science China Mathematics,2009,52(10):2121-2131. 被引量:2
  • 2Yu-liang Shen. On Grunsky operator[J] 2007,Science in China Series A: Mathematics(12):1805~1817
  • 3Cui Guizhen. Integrably asymptotic affine homeomorphisms of the circle and Teichmüller spaces[J] 2000,Science in China Series A: Mathematics(3):267~279
  • 4Reuven Harmelin. Bergman kernel function and univalence criteria[J] 1982,Journal d’Analyse Mathématique(1):249~258
  • 5Jochen Becker,Christian Pommerenke. über die quasikonforme Fortsetzung schlichter Funktionen[J] 1978,Mathematische Zeitschrift(1):69~80

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