摘要本文给出了复平面C上广义Fock空间中两个Toeplitz算子Tu和Tv的性质.假设u是一个径向函数,两算子是可交换的.在一定的增长条件之下,我们证明出v也是一个径向函数.最后还构造了一个具有本性无界符号的Sp紧Toeplitz算子. | | 服务 | | | 加入引用管理器 | | E-mail Alert | | RSS | 收稿日期: 2018-08-13 | | 基金资助:国家自然科学基金(11471084;11301101);广东省青年创新人才项目(2017KQNCX220);肇庆学院校级课题项目(201732);肇庆学院博士启动项目(221622)
| 通讯作者:陈建军E-mail: chenarmy@foxmail.com | 作者简介: 王晓峰,E-mail:wxf@gzhu.edu.cn;夏锦,E-mail:xiaj@cdut.edu.cn |
[1] Axler S., ?u?kovi? ?., Commuting Toeplitz operators with harmonic symbols, Integr. Equ. Oper. Theory, 1991, 14:1-11. [2] Axler S., ?u?kovi? ?., Rao N., Commutants of analytic Toeplitz operators on the Bergman space, Proc Amer. Math. Soc., 2000, 128:1951-1953. [3] Bauer W., Berezin Toeplitz quantization and composition formulas, J. Funct. Anal., 2009, 256:3107-3142. [4] Bauera W., Lee Y., Commuting Toeplitz operators on the Segal-Bargmann space, J. Funct. Anal., 2011, 260:460-489. [5] Bommier-Hato H., Youssfi E., Hankel operators on weighted Fock spaces, Integr. Equ. Oper. Theory, 2007, 59:1-17. [6] Brown A., Halmos P., Algebraic properties of Toeplitz operators, J. Reine Angew. Math., 1964, 213:89-102. [7] Cao G., On a problem of Axler, ?u?kovi? and Rao, Proc. Amer. Math. Soc., 2008, 136:931-935. [8] Cao G., Toeplitz operators with unbounded symbols of several complex variables, J. Math. Anal. Appl., 2008, 339:1277-1285. [9] Choe B., Koo H., Lee Y., Commuting Toeplitz operators on the polydisk, Trans. Amer. Math. Soc., 2004, 356:1727-1749. [10] Choe B., Lee Y., Pluriharmonic symbols of commuting Toeplitz operators, Illinois J. Math., 1993, 37:424-436. [11] Cho H., Zhu K., Fock-Sobolev spaces and their Carleson measures, J. of Funct. Anal., 2012, 263:2483-2506. [12] Cima J., ?u?kovi? ?., Compact Toeplitz operators with unbounded symbols, J. Oper. Th., 2005, 53:431-440. [13] ?u?kovi? ?., Rao N., Mellin transform, monomial symbols and commuting Toeplitz operators, J. Funct. Anal., 1998, 154:195-214. [14] Lee Y., Algebraic properties of Toeplitz operators on the Dirichlet space, J. Math. Anal. Appl., 2007, 329:1316-1329. [15] Schneider G., Hankel operator with antiholomorphic symbols on the Fock space, Proc. Amer. Math. Soc., 2004, 132:2399-2409. [16] Wang X., Cao G., Zhu K., Boundedness and compactness of operators on the Fock space, Integr. Equ. Oper. Theory, 2013, 77:355-370. [17] Xia J., Wang X., Cao G., Sp-class (0< p < ∞) Toeplitz operators with unbounded symbols on Dirichlet space, Acta Scientia Mathematica, 2012, 32:1919-1928. [18] Zhu K., Operator Theory in the Function Spaces, 2nd edn., Mathematical Surveys and Monographs, vol. 138, American Mathematical Society, 2007.
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