محمود بخيت - Academia.edu (original) (raw)
محمود بخيت
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Papers by محمود بخيت
Cubo (Temuco), 2013
In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov... more In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F * (p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators C φ acting from the hyperbolic α-Bloch class to the class F * (p, q, s) are characterized by conditions depending on an analytic self-map φ : D → D. RESUMEN En este artículo introducimos una métrica natural en las clases hiperbólicas α-Bloch y tipo Besov generales. Estas clases se muestra que son espacios métricos completos respecto de las métricas correspondientes. Además se caracterizan los operadores de composición compactos C φ que actúan desde las clases hiperbólicas α-Bloch en la clase F * (p, q, s) por condiciones que dependen de la autoaplicación analítica φ : D → D.
International Journal of Analysis and Applications, 2016
In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by th... more In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes.
Cubo (Temuco), 2013
In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov... more In this paper we introduce natural metrics in the hyperbolic α-Bloch and hyperbolic general Besov-type classes F * (p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators C φ acting from the hyperbolic α-Bloch class to the class F * (p, q, s) are characterized by conditions depending on an analytic self-map φ : D → D. RESUMEN En este artículo introducimos una métrica natural en las clases hiperbólicas α-Bloch y tipo Besov generales. Estas clases se muestra que son espacios métricos completos respecto de las métricas correspondientes. Además se caracterizan los operadores de composición compactos C φ que actúan desde las clases hiperbólicas α-Bloch en la clase F * (p, q, s) por condiciones que dependen de la autoaplicación analítica φ : D → D.
International Journal of Analysis and Applications, 2016
In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by th... more In this paper, we introduce NK-type spaces of holomorphic functions in the unit ball of C n by the help of a non-decreasing function K: (0,∞) → [0,∞). Several important properties of these spaces in the unit ball are provided. The results are applied to characterize boundedness and compactness of weighted composition operators Wu,φ from NK (B) spaces into Beurling-type classes. We also find the essential norm estimates for Wu,φ from NK(B) spaces into Beurling-type classes.