Generalized Volterra operators on polynomially generated Banach spaces
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 2.

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We study boundedness of generalized Volterra operators acting on certain Banach spaces of analytic functions generated by the polynomials on the open unit disc. The operators under study, map into the weighted Banach spaces of analytic functions or Bloch type spaces. We also give some related results for the boundedness of continuous operators with respect to the topology of uniform convergence on compact subsets of the open unit disc.
Publié le :
DOI : 10.30755/NSJOM.10133
Classification : 13C13, 13C99
Keywords: generalized Volterra operators, Volterra operators, bounded operators, weighted Banach spaces of analytic functions, Bloch type spaces
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     author = {Nasrin Eghbali and Maryam M. Pirasteh and Amir H. Sanatpour},
     title = {Generalized {Volterra} operators on polynomially generated {Banach} spaces},
     journal = {Novi Sad Journal of Mathematics},
     pages = {121 - 130},
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Nasrin Eghbali; Maryam M. Pirasteh; Amir H. Sanatpour. Generalized Volterra operators on polynomially generated Banach spaces. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 2. doi : 10.30755/NSJOM.10133. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10133/

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