01342nab a2200241 i 4500 acta48921 20260224081030.0 170711s2017 hu o 000 eng d 0001 6969 10.14232/actasm-016-542-6 doi SZTE Egyetemi Kiadványok Repozitórium hun eng Borgohain D. Generalized Cesaro operators on the spaces of Cauchy transforms [elektronikus dokumentum] / Borgohain D. Bolyai Institute, University of Szeged Szeged 2017 143-154 Acta scientiarum mathematicarum 83 No. 1-2 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. Természettudományok Matematika Matematika, Analízis - matematikai Naik S. aut http://acta.bibl.u-szeged.hu/48921/1/math_083_numb_001-002_143-154.pdf Dokumentum-elérés