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      Möbius-invariant harmonic function spaces on the unit disc

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      Author(s)
      Kaptanoğlu, Hakkı Turgay
      Date
      2022-03
      Source Title
      Analysis Mathematica
      Print ISSN
      0133-3852
      Publisher
      Springer
      Volume
      48
      Issue
      1
      Pages
      85 - 109
      Language
      English
      Type
      Article
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      Abstract
      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.
      Keywords
      Harmonic Bergman - Besov space
      Harmonic Bloch space
      Möbius transformation
      Möbius-invariant harmonic function space
      Permalink
      http://hdl.handle.net/11693/111513
      Published Version (Please cite this version)
      https://doi.org/10.1007/s10476-021-0110-x
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