Citation
Xm. Chen et al., Inner functions and cyclic composition operators on H-2(B-n), J MATH ANAL, 250(2), 2000, pp. 660-669
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
250
Issue
2
Year of publication
2000
Pages
660 - 669
Database
ISI
SICI code
0022-247X(20001015)250:2<660:IFACCO>2.0.ZU;2-J
Abstract
The present paper shows that the algebra C generated by {C-phi \ phi epsilo
n Aut(B-n)} is cyclic on H-2(B-n), and any nonconstant function f epsilon H
-2(B-n) is a cyclic vector of C. In addition, the hypercyclic and cyclic co
mposition operators will be discussed. (C) 2000 Academic Press.