Reducibility and unitary equivalence of analytic multipliers on Sobolev disk algebra

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Chen, Yong¹  Qin, Chuntao¹  Wu, Qi¹ 

[1] Zhejiang Normal Univ, Dept Math, Jinhua 821004, Peoples R China

关键词: Reducibility;    Unitary equivalence;    Multiplier;    Finite Blaschke product;    Sobolev disk algebra;   

DOI  :  10.1016/j.jmaa.2017.06.030

来源: Elsevier

【 摘 要 】

It is proved that M-phi with 2-Blaschke product phi is reducible on Sobolev disk algebra R(D) if and only if phi = beta alpha-z(2)/1-(alpha) over barz(2) for some alpha is an element of D and unimodular constant beta. Also, an analytic multiplier M-phi is unitary equivalent to M-zn on R(D) if and only if phi = lambda z(n) for some unimodular constant lambda. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free