Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions

被引：13
作者：
Herrera Yanez, Crispin [1 ]
Hutnik, Ondrej [2 ]
Maximenko, Egor A. [3 ]
机构：
[1] CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico
[2] Safarik Univ, Fac Sci, Inst Math, Kosice 04001, Slovakia
[3] Inst Politecn Nacl, Escuela Super Fis & Matemat, Mexico City 07730, DF, Mexico
来源：
COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 02期
关键词：
D O I：
10.1016/j.crma.2013.12.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Extending a recent result of Herrera Yanez, Maximenko and Vasilevski, we provide a further step in the structural analysis of algebras generated by Toeplitz operators on weighted Bergman spaces over the upper half-plane. We show that the set of "spectral" functions corresponding to Toeplitz operators generated by bounded vertical symbols is dense in the C*-algebra of very slowly oscillating functions on the positive half-line. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：129 / 132
页数：4
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