Möbius-invariant harmonic function spaces on the unit disc
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2021-12-10
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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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Analysis Mathematica
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Akademiai Kiado Rt.
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English