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

页码：391 / 410

页数：20

共 50 条

[1] 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
[2] 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
[3] 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
[4] Toeplitz Operators with Vertical Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane. II
Josué Ramírez Ortega
María del Rosario Ramírez Mora
Armando Sánchez Nungaray
Complex Analysis and Operator Theory, 2019, 13 : 2443 - 2462
[5] Toeplitz Operators with Vertical Symbols Acting on the Poly-Bergman Spaces of the Upper Half-Plane. II
Ramirez Ortega, Josue
Ramirez Mora, Maria del Rosario
Sanchez Nungaray, Armando
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (05) : 2443 - 2462
[6] REPRODUCING KERNELS OF WEIGHTED POLY-BERGMAN SPACES ON THE UPPER HALF-PLANE
Ortega, Josue Ramirez
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2007, 13 (02): : 345 - 356
[7] Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
Herrera Yanez, Crispin
Hutnik, Ondrej
Maximenko, Egor A.
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (02) : 129 - 132
[8] Berezin transforms and Toeplitz operators on the weighted Bergman spaces of the half-plane
Kang, Si Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (02) : 281 - 290
[9] 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
[10] 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

← 1 2 3 4 5 →