Semigroups of composition operators on Hardy spaces of the half-plane
We identify the semigroups consisting of bounded composition operators on the Hardy spaces ii p ( U + ) of the upper half-plane. We show that any such semigroup is strongly continuous on Hp{U+) but not uniformly continuous and we identify the infinitesimal generator.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
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| Sorozat: | Acta scientiarum mathematicarum
81 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-526-x |
| Online Access: | http://acta.bibl.u-szeged.hu/35207 |
| Tartalmi kivonat: | We identify the semigroups consisting of bounded composition operators on the Hardy spaces ii p ( U + ) of the upper half-plane. We show that any such semigroup is strongly continuous on Hp{U+) but not uniformly continuous and we identify the infinitesimal generator. |
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| Terjedelem/Fizikai jellemzők: | 293-308 |
| ISSN: | 0001-6969 |