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Harmonic Bloch space on the real hyperbolic ball by A. Ersin Üreyen is a Mathematics article available to read on EtoBox.
What is Harmonic Bloch space on the real hyperbolic ball about?
## Abstract We study the Bloch and the little Bloch spaces of harmonic functions on the real hyperbolic ball. We show that the Bergman projections from $$L^\infty ({\mathbb {B}})$$ L ∞ ( B ) to $${\mathcal {B}}$$ B , and from $$C\_0({\mathbb {B}})$$ C 0 ( B ) to $${\mathcal {B}}\_0$$ B 0 are onto. We verify that the dual space of the hyperbolic harmonic Bergman space $${\mathcal {B}}^1\_\alpha $$ B α 1 is $${\mathcal {B}}$$ B and its predual is $${\mathcal {B}}\_0$$ B 0 . Finally, we obtain atomic decompositions of Bloch functions as series of Bergman reproducing kernels.
Who reads Harmonic Bloch space on the real hyperbolic ball?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- A. Ersin Üreyen
- Publisher
- Springer Science and Business Media LLC
- Published
- 2024
- Language
- EN
- Field
- Mathematics (Physical Sciences)