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

共 50 条

[31] REPRODUCING KERNELS OF WEIGHTED POLY-BERGMAN SPACES ON THE UPPER HALF-PLANE [J].

Ortega, Josue Ramirez .

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2007, 13 (02) :345-356

[32] 2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane [J].

Xue, Yan-Fu ;

Jiang, Zhi-Jie ;

Huang, Cheng-Shi .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (07)

[33] 2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane [J].

Yan-Fu Xue ;

Zhi-Jie Jiang ;

Cheng-Shi Huang .

Complex Analysis and Operator Theory, 2023, 17

[34] WEIGHTED COMPOSITION OPERATORS BETWEEN GROWTH SPACES OF THE UPPER HALF-PLANE [J].

Stevic, Stevo ;

Sharma, Ajay K. .

UTILITAS MATHEMATICA, 2011, 84 :265-272

[35] A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane [J].

Ardalani, Mohammad Ali .

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2013, 4 (02) :11-14

[36] TOEPLITZ AND HANKEL TYPE OPERATORS ON THE UPPER HALF-PLANE [J].

JIANG, QT ;

PENG, LH .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1992, 15 (05) :744-767

[37] Brown-Halmos type theorems for Toeplitz operators on the Bergman space of the upper half-plane [J].

Alshormani, Farouq ;

Guediri, Hocine .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 542 (02)

[38] Weighted Composition Operators on Spaces of Analytic Functions on the Complex Half-Plane [J].

Kucik, Andrzej S. .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (08) :1817-1833

[39] Trace Class Toeplitz Operators with Unbounded Symbols on Weighted Bergman Spaces [J].

Huang, Sui ;

Cao, Guang Fu .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (08) :1567-1574

[40] Integral representation of angular operators on the Bergman space over the upper half-plane [J].

Bais, Shubham R. ;

Naidu, D. Venku .

NEW YORK JOURNAL OF MATHEMATICS, 2024, 30 :42-57

← 1 2 3 4 5 →