Browsing by Subject "Harmonic Bloch space"

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    Möbius-invariant harmonic function spaces on the unit disc
    (Akademiai Kiado Rt., 2021-12-10) Kaptanoğlu, Hakkı Turgay; Üreyen, A. E.
    We investigate and identify Möbius-invariant harmonic function spaces on the unit disc. We derive their fundamental properties and establish connections among various topologies on them. We show that the harmonic Bloch space b∞ is the “maximal” and the Besov space b1 −2 is the minimal invariant complete seminormed space. There is only one invariant semi-Hilbert space andit is the harmonic Dirichlet space b2 −2
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    ItemOpen Access
    Möbius-invariant harmonic function spaces on the unit disc
    (Springer, 2022-03) Kaptanoğlu, Hakkı Turgay
    We investigate and identify Möbius-invariant harmonic function spaces on the unit disc. We derive their fundamental properties and establish connections among various topologies on them. We show that the harmonic Bloch space b∞ is the “maximal” and the Besov space b−21 is the minimal invariant complete seminormed space. There is only one invariant semi-Hilbert space and it is the harmonic Dirichlet space b−22. © 2021, Akadémiai Kiadó, Budapest.