2026/9/15
Mohammad Reza Azimi

Mohammad Reza Azimi

Academic rank: Associate Professor
ORCID:
Education: PhD.
ResearchGate:
Faculty: Faculty of Basic Sciences
ScholarId:
E-mail: mhreza.azimi [at] gmail.com
ScopusId:
Phone:
H-Index:

Research

Title
ON HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON STEIN MANIFOLDS
Type
JournalPaper
Keywords
Holomorphic, Composition operator, Hypercyclic, Convex
Year
2025
Journal International Journal of Maps in Mathematics
DOI www.simadp.com/journalmim
Researchers Firooz Pashaie ، Mohammad Reza Azimi ، Mohammad Shahidi

Abstract

In this manuscript, we study the hypercyclicity of weighted composition operators defined on the set of holomorphic complex functions on a connected Stein n-manifold M. We show that a weighted composition operator C_{ψ,ω} (associated to a holomorphic self-map ψ and a holomorphic function ω on M) is hypercyclic with respect to an increasing sequence (nl)_l of natural numbers if and only if at every p ∈ M we have ω(p) ̸= 0 and the self-map ψ is injective without any fixed points in M, ψ(M) is a Runge domain and for every M-convex compact subset C ⊂ M there is a positive integer number k such that the sets C and ψ^[nk](C) are separable in M. Keywords: Holomorphic, composition operators, hypercyclic, convex.