Abstract:The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B * α, log and F * log (p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B * α, log and F * log (p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator C φ to be bounded and compact from B * α, log to F * log (p, q, s) spaces. RESUMEN El obj… Show more
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