A convergence theorem for harmonic measures with applications to Taylor series

DOI10.1090/proc/12764zbMath1348.30005OpenAlexW2962811452MaRDI QIDQ2790187

Myrto Manolaki, Stephen J. Gardiner

Publication date: 3 March 2016

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

Full work available at URL: https://doi.org/10.1090/proc/12764

zbMATH Keywords

universal Taylor seriesnontangential limitboundary behaviour of power seriesconvergence theorem for harmonic measures

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Boundary behavior of power series in one complex variable; over-convergence (30B30) Universal Taylor series in one complex variable (30K05)

Related Items

Universal radial approximation in spaces of analytic functions ⋮ Generic behavior of classes of Taylor series outside the unit disk ⋮ Generic boundary behaviour of Taylor series in Hardy and Bergman spaces ⋮ Simultaneous zero-free approximation and universal optimal polynomial approximants ⋮ A strong form of Plessner's theorem ⋮ Taylor Series, Universality and Potential Theory ⋮ Universal Taylor series without Baire and the influence of J.-P. Kahane ⋮ Boundary behaviour of Dirichlet series with applications to universal series ⋮ Spurious limit functions of Taylor series

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• Universal functions on nonsimply connected domains

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