- HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF ?N
- ㆍ 저자명
- Chen. Ren-Yu,Zhou. Ze-Hua
- ㆍ 간행물명
- Journal of the Korean Mathematical Society
- ㆍ 권/호정보
- 2011년|48권 5호|pp.969-984 (16 pages)
- ㆍ 발행정보
- 대한수학회
- ㆍ 파일정보
- 정기간행물| PDF텍스트
- ㆍ 주제분야
- 기타
This paper discusses the hypercyclicity of weighted composition operators acting on the space of holomorphic functions on the open unit ball $B_N$ of $mathbb{C}^N$. Several analytic properties of linear fractional self-maps of $B_N$ are given. According to these properties, a few necessary conditions for a weighted composition operator to be hypercyclic in the space of holomorphic functions are proved. Besides, the hypercyclicity of adjoint of weighted composition operators are studied in this paper.