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多圆盘上Bergman空间中具有无界符号的Toeplitz算子
Toeplitz算子 无界函数 Bergman 空间
2011/10/26
受曹广福教授和Josepha.Cima教授的文章的启发，研究多圆盘上Bergman空间中具有无界符号的Toeplitz算子的有界性、紧性及Hilbert-Schmidt性。
Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Toeplitz operator harmonic Bergman space quasihomogeneous symbol Mellin transform
2011/9/15
Abstract: In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous To...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Toeplitz operators on Bergman spaces of polyanalytic functions
Toeplitz operators Bergman spaces of polyanalytic functions
2011/1/21
We study algebraic properties of Toeplitz operators on Berg-man spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operato...
Bergman and Calderón projectors for Dirac operators
Bergman Calderón projectors Dirac operators
2010/12/8
For a Dirac operator D¯g over a spin compact Riemannian manifold with boundary (X, g), we give a natural construction of the Calder´on projector and of the associated Bergman projector on t...
讨论了 C\+n 中有界对称域的加权Bergman空间上符号属于 L\+2\-a(Ω, dV\-λ) 的小Hankel算子, 利用符号 Φ 的某种积分变换,给出了小Hankel算子 h\-Φ 属于Schatten理想 S\-p 的特征.
本文研究了单位球的Bergman空间上Schatten 类加权复合算子,得到了这种加权复合算子属于Schatten-Von Neumann理想$S_p$的几个充要条件. 作为推论给出了$W_{\varphi, \psi}$是一个Hilbert-Schmidt算子的充要条件是$$\int_{B_n}\frac{|\psi(w)|^2}{(1-|\varphi(w)|^2)^{n+1}}\d V(w)...