Cyclicity in the harmonic Dirichlet space

zbMath1449.46024arXiv1601.06572MaRDI QIDQ4631951

Thomas Ransford, Karim Kellay, Omar El-Fallah, Evgeny V. Abakumov

Publication date: 24 April 2019

Full work available at URL: https://arxiv.org/abs/1601.06572

zbMATH Keywords

capacityharmonic Dirichlet spacecyclic vectors

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (3)

Cyclicity in \(\ell^{p}\) spaces and zero sets of the Fourier transforms ⋮ Local boundary smoothness of an analytic function and its modulus in several dimensions: an announcement ⋮ On the local Hölder boundary smoothness of an analytic function in the unit ball compared with the smoothness of its modulus

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