Properties of superposition operators acting between B l and Q K
Kamal, A. (2015). Properties of superposition operators acting between B l and Q K. EKB Journal Management System, 23(3), 507-512. doi: 10.1016/j.joems.2015.01.003
Alaa Kamal. "Properties of superposition operators acting between B l and Q K". EKB Journal Management System, 23, 3, 2015, 507-512. doi: 10.1016/j.joems.2015.01.003
Kamal, A. (2015). 'Properties of superposition operators acting between B l and Q K', EKB Journal Management System, 23(3), pp. 507-512. doi: 10.1016/j.joems.2015.01.003
Kamal, A. Properties of superposition operators acting between B l and Q K. EKB Journal Management System, 2015; 23(3): 507-512. doi: 10.1016/j.joems.2015.01.003

Properties of superposition operators acting between B l and Q K

Journal of the Egyptian Mathematical Society
Volume 23, Issue 3, 2015, Pages 507-512    PDF (463.96 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2015.01.003
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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