Pseudo-Carleson Measures for Fock Spaces
Pseudo-Carleson Measures for Fock Spaces
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DOI：
10.11650/tjm/220801
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发表时间：
2022-01
影响因子：
0.4
通讯作者：
Yongqing Liu;Shengzhao Hou
中科院分区：
文献类型：
--
作者：
Yongqing Liu;Shengzhao Hou
本文在Fock空间中引入了伪Carleson测度，它是Carleson测度的推广，并给出了复Borel测度是伪Carleson的充要条件。然后，我们给出了函数在Fock空间中的积分表示，并利用这些度量刻画了Fock空间上小Hankel算子的有界性和紧性。
In this paper, we introduce pseudo-Carleson measure, a generalization of Carleson measure, for Fock spaces, and give sufficient and necessary conditions for a complex Borel measure to be pseudo-Carleson. We then give integral representations of functions in a Fock space, and use the measures to characterize boundedness and compactness of small Hankel operators on Fock spaces.