Riemann Surfaces with the Absolute AB-maximum Principle

H. L. Royden
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H. L. Royden: Stanford University, Department of Mathematics

A chapter in Proceedings of the Conference on Complex Analysis, 1965, pp 172-175 from Springer

Abstract: Abstract Let W be an open Riemann surface. We say that W satisfies the absolute A B-maximum principle if every subregion V of W with compact relative boundary Г has the property that each function which is bounded and analytic on V ∪ Г assumes its maximum on Г. Henceforth, we shall restrict ourselves to subregions whose relative boundaries consist of a finite number of piecewise analytic curves.

Keywords: Riemann Surface; Meromorphic Function; Relative Boundary; Arithmetic Group; Discontinuous Group (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-48016-4_15

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