$\mathcal H$-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910177538605056 |
|---|---|
| author | Üreyen, A. Ersin |
| author_facet | Üreyen, A. Ersin |
| contents | Using the characterizations in terms of various differential operators including partial, normal, and tangential derivatives, we extend the family of Bergman spaces of $\mathcal H$-harmonic functions on the real hyperbolic ball from $α>-1$ to all $α\in\mathbb R$. We then generalize several properties of Bergman spaces such as projection, duality, and inclusion relations, to this extended family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26728 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $\mathcal H$-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball Üreyen, A. Ersin Complex Variables 31C05, 46E22 Using the characterizations in terms of various differential operators including partial, normal, and tangential derivatives, we extend the family of Bergman spaces of $\mathcal H$-harmonic functions on the real hyperbolic ball from $α>-1$ to all $α\in\mathbb R$. We then generalize several properties of Bergman spaces such as projection, duality, and inclusion relations, to this extended family. |
| title | $\mathcal H$-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball |
| topic | Complex Variables 31C05, 46E22 |
| url | https://arxiv.org/abs/2604.26728 |