共查询到16条相似文献,搜索用时 62 毫秒
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本文给出加权Bergman空间Ap(ψ)上具有界调和符号的Toeplitz算子的半换位子为零或为紧算子的一些充要条件. 相似文献
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本文给出加权Bergman空间Ap(φ)上具有界调和符号的Toeplitz算子的半换位子为零或为紧算子的一些充要条件. 相似文献
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本文使用不变加权面积平均值性质刻画了单位圆盘内的调和函数.由此我们探讨了加权Bergman空间A^p(φ)上的Toeplitz算子,给出了两个具有界调和符号的Toeplitz算子交换或本质交换的一些充要条件. 相似文献
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本文讨论了Toeplitz算子空间的W-闭包,我们证明了Bergman空间L^2a(D)上全体Toeplitz算子的W闭包等于B(L^2a(D)(定理1),另外,我们给出C^m(n>1)中单位球面S上的Hardy空间H^2(S)上的Toeplitz算子的一个有趣刻划(命题2)。 相似文献
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西方给出了C^n中单位球上的带权的Bergman空间上具一般符号的Toeplitz算子和Hankel算子为紧的充要条件。 相似文献
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In this paper, we first investigate the finite-rank product problem of several Toeplitz operators with quasihomogeneous symbols on the harmonic Bergman space. Next, we characterize finite rank commutators and semi-commutators of two Toeplitz operators with quasihomogeneous symbols. 相似文献
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On the Bergman space of the unit ball of Cn, we study the finite rank problem for Toeplitz products with harmonic symbols. We first solve the problem with two factors in case symbols have local continuous extension property up to the boundary. Also, in case symbols have additional Lipschitz continuity up to (some part of) the boundary, we solve the problem for multiple products with number of factors depending on the dimension n. Analogous theorems on the polydisk are also obtained. 相似文献
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Daniel H. Luecking 《Proceedings of the American Mathematical Society》2008,136(5):1717-1723
Given a complex Borel measure with compact support in the complex plane the sesquilinear form defined on analytic polynomials and by , determines an operator from the space of such polynomials to the space of linear functionals on . This operator is called the Toeplitz operator with symbol . We show that has finite rank if and only if is a finite linear combination of point masses. Application to Toeplitz operators on the Bergman space is immediate.
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