A Quantitative Runge's Theorem in Riemann surfaces

Authors

  • Daniel Lear Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM)

Keywords:

Runge's theorem, Riemann surfaces, Green's function, MSC (2010), 30D30, 30F15, 31A05.

Abstract

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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Author Biography

Daniel Lear, Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM)



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How to Cite

Lear, D. (2014). A Quantitative Runge’s Theorem in Riemann surfaces. Reports@SCM, 1(1), 15–32. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/120172

Issue

Vol. 1 No. 1 (2014)

Section

Articles

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