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

页码：129 / 132

页数：4

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