Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane

被引：8
|
作者：
Loaiza, M. [1 ]
Ramirez-Ortega, J. [2 ]
机构：
[1] CINVESTAV IPN, Dept Matemat, Apartado Postal 14-740, Mexico City 07000, DF, Mexico
[2] Univ Veracruzana, Fac Matemat, Xalapa 91000, Ver, Mexico
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2017年 / 87卷 / 03期
关键词：
Bergman spaces; Toeplitz operator; Algebras of Toeplitz operators;
D O I：
10.1007/s00020-017-2350-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new isomorphic description of the poly-Bergman spaces of the upper half-plane., and describe the C*-algebra generated by certain class of Toeplitz operators acting on each poly-Bergman space A(n)(2)(II). We consider bounded symbols depending only on theta = arg z and having limits values at theta = 0 and theta = pi. This C*-algebra is isomorphic and isometric to the C*-algebra consisting of all matrices M(x) epsilon M-n (C) circle times C[-infinity,+infinity] such that M(-infinity), M(infinity) epsilon CI. Mathematics Subject Classification. 30II20, 32A25, 47B35, 47L80.
引用
收藏
页码：391 / 410
页数：20
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