Weighted Hölder continuity of hyperbolic harmonic Bloch functions.
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Publication:1848656
DOI10.4171/ZAA/1097zbMath1039.31006OpenAlexW1990829355WikidataQ58038945 ScholiaQ58038945MaRDI QIDQ1848656
Publication date: 13 March 2003
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1097
Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Bloch functions, normal functions of several complex variables (32A18)
Related Items (6)
Unnamed Item ⋮ On Lipschitz continuity of solutions of hyperbolic Poisson's equation ⋮ Generalized Bloch spaces, integral means of hyperbolic harmonic mappings in the unit ball ⋮ Dirichlet-type energy integrals of hyperbolic harmonic mappings ⋮ Equality of norms for a class of Bloch and symmetrically weighted Lipschitz spaces of vector valued functions and derivation inequalities for Pick functions ⋮ Hölder continuity of hyperbolic Poisson integral and hyperbolic Green integral
Cites Work
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- Bloch Functions in Several Complex Variables, I
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- Möbius invariant besov p-spaces and hankel operators in the bergman space on the ball in C n
- Characterizations of Bergman Spaces and Bloch Space in the Unit Ball of C n
- The Bloch space and Besov spaces of analytic functions
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