Critical points of Green's function and geometric function theory

DOI10.1512/iumj.2012.61.4621zbMath1293.30025arXiv0912.1223OpenAlexW2962939312MaRDI QIDQ2841846

Ahmed Sebbar, Björn Gustafsson

Publication date: 30 July 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1223

zbMATH Keywords

Green's functionMartin boundaryBergman kernelmultiply connected domainPoincaré metricSchiffer kernel

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Martin boundary theory (31C35) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Kernel functions in one complex variable and applications (30C40) Bergman spaces and Fock spaces (30H20)

Related Items (8)

Vortex pairs and dipoles on closed surfaces ⋮ Finite Unions of Intervals, Part I ⋮ The minimum sets and free boundaries of strictly plurisubharmonic functions ⋮ Comments on the Green's function of a planar domain ⋮ On the concept of inner function in Hardy and Bergman spaces in multiply connected domains ⋮ Vortex motion and geometric function theory: the role of connections ⋮ Exponential Transforms, Resultants and Moments ⋮ On the efficient global dynamics of Newton’s method for complex polynomials

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