Hardy factorization in terms of fractional commutators in Lorentz spaces
We provide a constructive proof of H 1 (ℝ d ) (the classical Hardy space) factorization in terms of fractional commutators in Lorentz spaces. As a direct application, we obtain a characterization of functions in BMO space. Furthermore, we also obtain a Lorentz compactness characterization of fractio...
Gespeichert in:
| Veröffentlicht in: | Frontiers of Mathematics 2022, Vol.17 (5), p.853-873 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We provide a constructive proof of
H
1
(ℝ
d
) (the classical Hardy space) factorization in terms of fractional commutators in Lorentz spaces. As a direct application, we obtain a characterization of functions in BMO space. Furthermore, we also obtain a Lorentz compactness characterization of fractional commutators. |
|---|---|
| ISSN: | 2731-8648 1673-3452 2731-8656 1673-3576 |
| DOI: | 10.1007/s11464-021-0946-1 |