2025/12/5
Mohammad Reza Azimi

Mohammad Reza Azimi

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