期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2012
卷号：2012
DOI：10.1155/2012/378217
出版社：Hindawi Publishing Corporation
摘要：Let 𝑅(𝔻) be the algebra generated in Sobolev space 𝑊22(𝔻) by the rational functions with poles outside the unit disk 𝔻. In this paper, we study the similarity invariant of the multiplication operators 𝑀𝑔 in ℒ(𝑅(𝔻)), when 𝑔 is univalent analytic on 𝔻 or 𝑀𝑔 is strongly irreducible. And the commutants of multiplication operators whose symbols are composite functions, univalent analytic functions, or entire functions are studied.
