Commutators of pseudo-differential operators on local Hardy spaces
We consider the commutator operator [B, a(x, D)} of the multiplication operator by a function B and a pseudo-differential operator a(x,D), and prove that [B,cr(x, D)} is bounded on the local Hardy spaces /ip(Mn). We also show that our result is optimal.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 3-4 |
| Kulcsszavak: | Matematika, Hardy-tér, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16401 |
| Tartalmi kivonat: | We consider the commutator operator [B, a(x, D)} of the multiplication operator by a function B and a pseudo-differential operator a(x,D), and prove that [B,cr(x, D)} is bounded on the local Hardy spaces /ip(Mn). We also show that our result is optimal. |
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| Terjedelem/Fizikai jellemzők: | 489-501 |
| ISSN: | 0001-6969 |