A Quantitative Runge's Theorem in Riemann surfaces

• Daniel Lear ^[1]
  1. [1] Instituto de Ciencias Matemáticas

     Instituto de Ciencias Matemáticas

     Madrid, España

     
• Localización: Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques, ISSN-e 2385-4227, Vol. 1, Nº. 1, 2014, págs. 15-32
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen
  • català

    Donem una versió quantitativa del teorema de Runge per a superfícies de Riemann, la qual inclou una ta superior de l'ordre dels pols. Juguen un paper essencial tant la funció de Green com les estimacions L2 ponderades per a l'equació de Cauchy-Riemann no homogènia.

  • English

    We give a quantitative version of Runge's theorem for Riemann surfaces that includes an upper bound of the order of the poles. Green's Functions and the weighted L2-estimates for the inhomogeneous Cauchy-Riemann equation play an essential role.Keywords: Runge's theorem, Riemann surfaces, Green's function.MSC (2010): 30D30, 30F15, 31A05.

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