BOUNDS FOR A CONE-TYPE MULTIPLIER OPERATOR OF NEGATIVE INDEX IN ${ \mathbb{R} }^{3}
In this paper we obtain some sharp ${L}^{p} - {L}^{q} $ estimates and the restricted weak-type endpoint estimates for the multiplier operator of negative order associated with conic surfaces in ${ \mathbb{R} }^{3} $ which have finite type degeneracy.
Gespeichert in:
| Veröffentlicht in: | Journal of the Australian Mathematical Society (2001) 2013-06, Vol.94 (3), p.321-347 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper we obtain some sharp ${L}^{p} - {L}^{q} $ estimates and the restricted weak-type endpoint estimates for the multiplier operator of negative order associated with conic surfaces in ${ \mathbb{R} }^{3} $ which have finite type degeneracy. |
|---|---|
| ISSN: | 1446-7887 1446-8107 |
| DOI: | 10.1017/S1446788712000572 |