Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces
Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces
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DOI：
10.7146/math.scand.a-120920
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发表时间：
2020-09
影响因子：
0.5
通讯作者：
Aamena Al-Qabani;T. Hilberdink;J. Virtanen
中科院分区：
文献类型：
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作者：
Aamena Al-Qabani;T. Hilberdink;J. Virtanen
研究了作用于加倍Fock-Hilbert空间上的Toeplitz算子的Fredholm性，并刻画了它们的有界零振动符号的本质谱。我们还计算了当$\varphi(Z)=\lvert{z}\rvert^{\beta}$且$\beta；0$时这些Toeplitz算子的指数。我们的工作将标准加权Fock空间上Toeplitz算子的最新结果推广到加倍Fock空间的设置上。
We study the Fredholm properties of Toeplitz operators acting on doubling Fock Hilbert spaces, and describe their essential spectra for bounded symbols of vanishing oscillation. We also compute the index of these Toeplitz operators in the special case when $\varphi (z) = \lvert {z}\rvert^{\beta }$ with $\beta >0$. Our work extends the recent results on Toeplitz operators on the standard weighted Fock spaces to the setting of doubling Fock spaces.