Existence and uniqueness of rectilinear slit maps

DOI10.1090/S0002-9947-99-02538-6zbMath0941.30005OpenAlexW1549909293MaRDI QIDQ4699603

Frederick Weening, Carl H. FitzGerald

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02538-6

zbMATH Keywords

extremal lengthconformal uniformizationrectilinear slit maps

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Conformal mappings of special domains (30C20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

• On canonical conformal maps of regions of arbitrary connectivity
• Conformal mappings onto domains with arbitrarily specified boundary shapes
• Rectilinear slit conformal mappings
• Transboundary extremal length
• Conformal uniformization and packings
• Fixed points, Koebe uniformization and circle packings
• Extremal and conjugate extremal distance on open Riemann surfaces with applications to circular-radial slit mappings
• On the Riemann-Roch theorem on open Riemann surfaces
• Research Problems in Complex Analysis
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