Composition operators and natural metrics in meromorphic function classes $Q_p$

author

  • A. Kamal Port Said University‎, ‎Faculty of Science‎, ‎Department of Mathematics, Port Said 42521‎, ‎Egypt.
Abstract:

‎In this paper‎, ‎we investigate some results on natural metrics on the $mu$-normal functions and meromorphic $Q_p$-classes‎. ‎Also‎, ‎these classes are shown to be complete metric spaces with respect to the corresponding metrics‎. ‎Moreover‎, ‎compact composition operators $C_phi$ and Lipschitz continuous operators acting from $mu$-normal functions to the meromorphic $Q_p$-classes are characterized by conditions depending only on $phi.$

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

composition operators and natural metrics in meromorphic function classes $q_p$

‎in this paper‎, ‎we investigate some results on natural metrics on the $mu$-normal functions and meromorphic $q_p$-classes‎. ‎also‎, ‎these classes are shown to be complete metric spaces with respect to the corresponding metrics‎. ‎moreover‎, ‎compact composition operators $c_phi$ and lipschitz continuous operators acting from $mu$-normal functions to the meromorphic $q_p$-classes are characte...

full text

On Certain Classes of Meromorphic Functions Involving Integral Operators

We introduce and study some classes of meromorphic functions defined by using a meromorphic analogue of Noor [also Choi-Saigo-Srivastava] operator for analytic functions. Several inclusion results and some other interesting properties of these classes are investigated.

full text

Separating partial normality classes with weighted composition operators

In this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^{2}(Sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$A$. Then we show that weighted composition operators can separate these classes.

full text

Classes of admissible functions associated with certain integral operators applied to meromorphic functions

‎In the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of Miller and Mocanu‎, ‎  ‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎ ‎of functions associated with an integral operator hold‎. ‎Additionally‎, ‎differential sandwich-type result is obtained‎.

full text

Customizable composition operators for Java-like classes

We propose a formal framework for extending a class-based language, equipped with a given class composition mechanism, to allow programmers to define their own derived composition operators. These definitions can exploit the full expressive power of the underlying computational language. The extension is obtained by adding meta-expressions, that is, (expressions denoting) class expressions, to ...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 42  issue 5

pages  1143- 1154

publication date 2016-11-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023