The Hadamard theorem and Borel-Carathéodory theorem on Riemann surfaces

DOI10.1007/s10114-005-0740-0zbMath1106.30002OpenAlexW2140857897MaRDI QIDQ2508616

Hui Ping Zhang

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0740-0

zbMATH Keywords

analytic functionHadamard theoremanalytic differentialsharmonic differentialsannulus domainBorel-Carathéodory theorem(sub)harmonic functionspseudo-distance function on Riemann surfaces

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Harmonic functions on Riemann surfaces (30F15) Proceedings, conferences, collections, etc. pertaining to functions of a complex variable (30-06) Differentials on Riemann surfaces (30F30)

Related Items (1)

An application of the Riemann-Roch theorem

Cites Work

• The Lindelöf principle and normal functions of several complex variables
• Complex Analysis
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