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Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces* |
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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 |
Page view: 509
Net amount: 653 |
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). |
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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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