Möbius-invariant harmonic function spaces on the unit disc

DOI10.1007/s10476-021-0110-xOpenAlexW4200238647MaRDI QIDQ2116390

H. Turgay Kaptanoğlu, Adem Ersin Üreyen

Publication date: 16 March 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0110-x

zbMATH Keywords

harmonic Bloch spaceMöbius transformationharmonic Bergman-Besov spaceMöbius-invariant harmonic function space

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

Duality for \(\alpha\)-Möbius invariant Besov spaces

Cites Work

• The uniqueness of the Dirichlet space among Möbius-invariant Hilbert spaces
• Möbius-invariant Hilbert spaces in polydiscs
• Möbius invariant spaces on the unit ball
• Kelvin-Möbius-invariant harmonic function spaces on the real unit ball
• Harmonic Function Theory
• Harmonic Besov spaces on the ball
• Mobius Invariant Hilbert Spaces of Holomorphic Functions in the Unit Ball of ℂ n
• An Extremal Property of the Bloch Space
• Mobius Invariant QK Spaces
• Measure Theory
• A Primer on the Dirichlet Space
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