Commutativity of slant weighted Toeplitz operators

被引：0
|
作者：
Datt G. [1 ]
Ohri N. [2 ]
机构：
[1] Department of Mathematics, PGDAV College, University of Delhi, Delhi
[2] Department of Mathematics, University of Delhi, Delhi
来源：
Arabian Journal of Mathematics | 2016年 / 5卷 / 2期
关键词：
47B37; 47B35;
D O I：
10.1007/s40065-015-0141-x
中图分类号：
学科分类号：
摘要：
For a positive integer k ≥ 2, the kth-order slant weighted Toeplitz operator Uk,ϕβ on L2(β) with ϕ∈ L∞(β) is defined as Uk,ϕβ=WkMϕβ, where Wken(z)=βmβkmem(z) if n= km, m∈ Z and Wken(z) = 0 if n ≠ km. The paper derives relations among the symbols of two kth-order slant weighted Toeplitz operators so that their product is a kth-order slant weighted Toeplitz operator. We also discuss the compactness and the case for two kth-order slant weighted Toeplitz operators to commute essentially. © 2015, The Author(s).
引用
收藏
页码：69 / 75
页数：6
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