Properties of superposition operators acting between B l and Q K | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 3, 2015, Page 507-512 PDF (463.96 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2015.01.003 | ||||
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Author | ||||
Alaa Kamal* | ||||
Port Said University, Faculty of Science, Department of Mathematics, Port Said 42521, Egypt | ||||
Abstract | ||||
In this paper we introduce natural metrics in the hyperbolic Bloch and QK-type spaces with respect to which these spaces are complete. Moreover, Lipschitz continuous, bounded and compact superposition operators S/ from the hyperbolic Bloch type space to the hyperbolic QK-type space are characterized by conditions depending only on the analytic symbol /. | ||||
Keywords | ||||
KEYWORDS Superposition operators; B l; Lipschitz continuity; Compactness | ||||
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