Bergman Type Projection on Lipschitz Spaces
On the unit ball of , some Bergman type operators are defined with the use of fractional derivatives and reproducing kernels of Poisson–Bergman type, which act boundedly in the Lipschitz spaces. In a special case, these operators continuously map the Lipschitz space of sufficiently smooth functions...
Gespeichert in:
| Veröffentlicht in: | Journal of contemporary mathematical analysis 2024-10, Vol.59 (5), p.317-325 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | On the unit ball of
, some Bergman type operators are defined with the use of fractional derivatives and reproducing kernels of Poisson–Bergman type, which act boundedly in the Lipschitz spaces. In a special case, these operators continuously map the Lipschitz space of sufficiently smooth functions onto its harmonic subspace. |
|---|---|
| ISSN: | 1068-3623 1934-9416 |
| DOI: | 10.3103/S1068362324700237 |