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...
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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 |
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| 005 | 20260224081030.0 | ||
| 008 | 170711s2017 hu o 000 eng d | ||
| 022 | |a 0001 6969 | ||
| 024 | 7 | |a 10.14232/actasm-016-542-6 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Borgohain D. | |
| 245 | 1 | 0 | |a Generalized Cesaro operators on the spaces of Cauchy transforms |h [elektronikus dokumentum] / |c Borgohain D. |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2017 | ||
| 300 | |a 143-154 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 83 No. 1-2 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Analízis - matematikai | ||
| 700 | 0 | 1 | |a Naik S. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/48921/1/math_083_numb_001-002_143-154.pdf |z Dokumentum-elérés |