Fock-Sobolev空间上多重径向符号Toeplitz算子的换位

Commutants of Toeplitz operators with polyradial symbols on Fock-Sobolev spaces

研究多复变量的Fock-Sobolev空间上多重径向符号Toeplitz算子的换位问题,对φ是以z,z珋为变量的多重径向多项式函数且ψ为多项式有界函数情形,得到了Toeplitz算子T_φ与T_ψ交换的充要条件,还给出了几个有趣的例子和结论.

In this paper,we discuss the commuting problem of Toeplitz operators on Fock-Sobolev space of Cn.Letψbe a polyradial polynomial in z and z-,ψbe polynomial bounded functions,we obtain the sufficient and necessary conditions that Tψand Tψcommute.Several examples and consequences are studied.