Generic boundary behaviour of Taylor series in Hardy and Bergman spaces

DOI10.1007/s00209-016-1694-xzbMath1360.30003arXiv1512.07397OpenAlexW2236607309MaRDI QIDQ343652

Hans-Peter Beise, Jürgen Müller

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07397

zbMATH Keywords

Hardy spaceBergman spaceuniversal Taylor seriesbackward shiftmixing operators

Mathematics Subject Classification ID

Boundary behavior of power series in one complex variable; over-convergence (30B30) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20) Universal Taylor series in one complex variable (30K05)

Related Items (11)

\(\ell^p\)-type Dirichlet spaces ⋮ Universal radial approximation in spaces of analytic functions ⋮ Generic Boundary Behaviour of Taylor Series in Banach Spaces of Holomorphic Functions ⋮ Generic behavior of classes of Taylor series outside the unit disk ⋮ Simultaneous zero-free approximation and universal optimal polynomial approximants ⋮ Monotonicity of certain left and right Riemann sums ⋮ Taylor Series, Universality and Potential Theory ⋮ Banach spaces of universal Taylor series in the disc algebra ⋮ A continuous function with universal Fourier series on a given closed set of Lebesgue measure zero ⋮ Mixing operators with prescribed unimodular eigenvalues ⋮ Spurious limit functions of Taylor series

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