The operator Mz1nz2n on subspaces of Bergman spaces over the biannulus

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Kwon, Hyun-Kyoung¹  Li, Hui²  Li, Yucheng² 

[1] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

[2] Hebei Normal Univ, Dept Math, Shijiazhuang 050024, Hebei, Peoples R China

关键词: Bergman space;    Biannulus;    Multiplication operator;    Similarity;    Reducing subspace;   

DOI  :  10.1016/j.jmaa.2020.124042

来源: Elsevier

【 摘 要 】

We consider the multiplication operator M-z1n (z2n) on a certain closed subspace L-a,alpha(2++)(A(r)(2)) of weighted Bergman spaces L-a,(alpha)2(A(r)(2)) over the biannulus A(r)(2). We prove that the operator M-z1n (z2n) is similar to circle plus M-n2 (1)z1z2 on L-a,alpha(2++) (A(r)(2)). Moreover, the reducing subspaces of M-z1n (z2n) are investigated. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free