Generalized Ahlfors functions

DOI10.1090/S0002-9947-06-03906-7zbMath1111.35030OpenAlexW1509343522MaRDI QIDQ3420286

Manuel Flores, Miran Cerne

Publication date: 1 February 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03906-7

zbMATH Keywords

Riemann-Hilbert problemAhlfors functionbordered Riemann surface

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

Proper superminimal surfaces of given conformal types in the hyperbolic four-space ⋮ Identification of a connection from Cauchy data on a Riemann surface with boundary ⋮ Boundary differential relations for holomorphic functions on the disc ⋮ Beurling's boundary differential relations on multiply connected domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subalgebras of functions on a Riemann surface
• Polynomial hulls with convex fibers
• Failure of averaging on multiply-connected domains
• The Euler-Lagrange equations for extremal holomorphic mappings of the unit disk
• Pseudo holomorphic curves in symplectic manifolds
• Failure of weak holomorphic averaging on multiple connected domains
• On holomorphic embedding of planar domains into \(\mathbb{C}^2\)
• Ahlfors maps, the double of a domain, and complexity in potential theory and conformal mapping
• Embedding some bordered Riemann surfaces in the affine plane
• Complexity in complex analysis.
• Finitely generated function fields and complexity in potential theory in the plane
• Boundary measures of analytic differentials and uniform approximation on a Riemann surface
• Bounded analytic functions
• Open Riemann surfaces and extremal problems on compact subregions
• REGULARITY OF THE BOUNDARIES OF ANALYTIC SETS
• Nonlinear Riemann - Hilbert Problems without Transversality
• The Riemann-Hilbert problem for finite riemann surfaces
• On the asymptotics of meromorphic solutions for nonlinear Riemann–Hilbert problems
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces
• Nonlinear Riemann-Hilbert problems for multiply connected domains
• Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data

This page was built for publication: Generalized Ahlfors functions