Generalized Cesaro operators on the spaces of Cauchy transforms
In this paper we study the two-parameter family of generalized Cesaro operators Vb c on the space of Cauchy transforms K. In [5], Siskasis and Cima obtained the boundedness of the Cesaro operator and a-Cesaro operator on the space of Cauchy transforms. Motivated by this we obtain the boundedness of...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika, Analízis - matematikai |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-542-6 |
| Online Access: | http://acta.bibl.u-szeged.hu/48921 |
| Tartalmi kivonat: | In this paper we study the two-parameter family of generalized Cesaro operators Vb c on the space of Cauchy transforms K. In [5], Siskasis and Cima obtained the boundedness of the Cesaro operator and a-Cesaro operator on the space of Cauchy transforms. Motivated by this we obtain the boundedness of the operators Vb c on K for 6+ 1 > c > 0 as well as an upper bound of its norm. Also an alternate method for boundedness of Pb'c has been obtained by finding the adjoint of Pb'c. |
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| Terjedelem/Fizikai jellemzők: | 143-154 |
| ISSN: | 0001 6969 |