Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces*

Citation:

Yiyuan ZHANG,Guangfu CAO,Li HE.Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces*[J].Chinese Annals of Mathematics B,2022,43(3):401~416
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Authors:

Yiyuan ZHANG; Guangfu CAO;Li HE

Foundation:

National Natural Science Foundation of China (Nos. 12071155,11871170) and the Innovation Research for the Postgraduates of Guangzhou University (2020GDJCD08).
Abstract: In this paper, the authors investigate the boundedness of Toeplitz product Tf Tg and Hankel product H*fHg on Fock-Sobolev space for f, g ∈ P. As a result, the boundedness of Toeplitz operator Tf and Hankel operator Hg with f ∈ P is characterized.

Keywords:

Toeplitz product, Hankel product, Fock-Sobolev space

Classification:

47B35, 30H20
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