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https://hdl.handle.net/20.500.13087/2205| Title: | MOBIUS-INVARIANT HARMONIC FUNCTION SPACES ON THE UNIT DISC | Authors: | Kaptanoğlu, H. T. Üreyen, A. E. |
Keywords: | Mobius transformation Mobius-invariant harmonic function space harmonic Bergman-Besov space harmonic Bloch space Hilbert-Spaces |
Issue Date: | 2021 | Publisher: | Springer Int Publ Ag | Abstract: | We investigate and identify Mobius-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(infinity) is the maximal and the Besov space b(-)(2)(1) is the minimal invariant complete seminormed space. There is only one invariant semi-Hilbert space and it is the harmonic Dirichlet space b(-)(2)(2). | URI: | http://doi.org/10.1007/s10476-021-0110-x https://hdl.handle.net/20.500.13087/2205 |
ISSN: | 0133-3852 1588-273X |
| Appears in Collections: | Matematik Bölümü Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu |
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