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
相关论文
共 50 条
  • [1] Vertical Toeplitz Operators on the Upper Half-Plane and Very Slowly Oscillating Functions
    Crispin Herrera Yañez
    Egor A. Maximenko
    Nikolai Vasilevski
    Integral Equations and Operator Theory, 2013, 77 : 149 - 166
  • [2] Vertical Toeplitz Operators on the Upper Half-Plane and Very Slowly Oscillating Functions
    Herrera Yanez, Crispin
    Maximenko, Egor A.
    Vasilevski, Nikolai
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 77 (02) : 149 - 166
  • [3] Toeplitz Operators with Vertical Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane
    Ramirez Ortega, Josue
    Sanchez-Nungaray, Armando
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (08) : 1801 - 1817
  • [4] Toeplitz Operators with Vertical Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane
    Josué Ramírez Ortega
    Armando Sánchez-Nungaray
    Complex Analysis and Operator Theory, 2015, 9 : 1801 - 1817
  • [5] Toeplitz operators between weighted Bergman spaces over the half-plane
    Feng, Lixia
    Li, Yan
    Wang, Zhiyu
    Zhao, Liankuo
    ACTA MATHEMATICA SCIENTIA, 2024, 44 (05) : 1707 - 1720
  • [6] TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE
    冯丽霞
    李艳
    王志宇
    赵连阔
    Acta Mathematica Scientia, 2024, 44 (05) : 1707 - 1720
  • [7] C*-Algebra Generated by Angular Toeplitz Operators on the Weighted Bergman Spaces Over the Upper Half-Plane
    Kevin Esmeral
    Egor A. Maximenko
    Nikolai Vasilevski
    Integral Equations and Operator Theory, 2015, 83 : 413 - 428
  • [8] C*-Algebra Generated by Angular Toeplitz Operators on the Weighted Bergman Spaces Over the Upper Half-Plane
    Esmeral, Kevin
    Maximenko, Egor A.
    Vasilevski, Nikolai
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 83 (03) : 413 - 428
  • [9] Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane
    M. Loaiza
    J. Ramírez-Ortega
    Integral Equations and Operator Theory, 2017, 87 : 391 - 410
  • [10] Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane
    Loaiza, M.
    Ramirez-Ortega, J.
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 87 (03) : 391 - 410
12345