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The Helton-Howe trace formula for submodules
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-03-18 , DOI: 10.1016/j.jfa.2021.108997
Quanlei Fang , Yi Wang , Jingbo Xia

We consider a class of submodules R of the Bergman module La2(B) that are associated with analytic sets M˜Cn with dimCM˜=d. In analogue to the usual Toeplitz operator on La2(B), we have the “Toeplitz operator for the submodule” Rφ on R. We show that the Helton-Howe trace formula holds for the antisymmetric sum [Rf1,Rf2,,Rf2n], f1,f2,,f2nC[z1,z¯1,,zn,z¯n].



中文翻译:

子模块的Helton-Howe跟踪公式

我们考虑一类子模块 [R Bergman模块 大号一个2个 与分析集相关的 中号Cñ暗淡C中号=d。与通常的Toeplitz运算符类似大号一个2个,我们有“子模块的Toeplitz运算符” [Rφ[R。我们证明了Helton-Howe跟踪公式对于反对称和成立[[RF1个[RF2个[RF2个ñ]F1个F2个F2个ñC[ž1个ž¯1个žñž¯ñ]

更新日期:2021-03-23
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