WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 18, 2019
(This paper belongs to the Special Issue "Pure Mathematics") Products of Volterra-type operators and composition operators from analytic Morrey spaces into Zygmund spaces
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Abstract: In recent years the composition operator Cφ has been received much attention and appear in various settings in the literature. It is interesting to provide a function theoretic characterization when φ induces a bounded or compact composition operator on various function spaces. In this paper we consider the products of Volterra- type operators and composition operators. We characterize the boundedness and compactness of the products of Volterra-type operators and composition operators TgCφ and IgCφ from the analytic Morrey spaces L2,λ to the Zygmund space Z, and the little analytic Morrey spaces L2,λ 0 to the little Zygmund space Z0 over the unit disk, respectively.
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Keywords: "Analytic Morrey space, Zygmund space, Volterra-type operators, Composition operators, Bounded- ness, Compactness"
Pages: 378-388
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #46