Shanli Ye, "Products of Volterra-Type Operators and Composition Operators on logarithmic Bloch Space," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Shanli Ye. Products of Volterra-Type Operators and Composition Operators on logarithmic Bloch Space.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Products of Volterra-Type Operators and Composition Operators on logarithmic Bloch Space
Author:
Abstract: Let D = {z : |z| < 1} be the unit disk in the complex plane C, φ be an analytic self-map of D, and g : D → C is an analytic map. We characterize the boundedness and compactness of the products of Volterra-type operators and composition operators CφUg and UgCφ on the logarithmic Bloch space LB and the little logarithmic space LB0 over the unit disk. Some necessary and sufficient conditions are given for which CφUg or UgCφ is a bounded or a compact operator on LB, or LB0, respectively. The results extend the known results about the composition operator to the logarithmic Bloch space LB.
Keywords:
Volterra-type operators, Composition operators, Bloch-type spaces, Analytic functions, Boundedness, Compactness
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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