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Toeplitz operators and Hankel operators

✍ Scribed by Dechao Zheng

Publisher
SP Birkhäuser Verlag Basel
Year
1989
Tongue
English
Weight
544 KB
Volume
12
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES

The Distribution Function Inequality and
The Distribution Function Inequality and Products of Toeplitz Operators and Hankel Operators
✍ Dechao Zheng 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 640 KB

In this paper we study Hankel operators and Toeplitz operators through a distribution function inequality on the Lusin area integral function and the Littlewood Paley theory. A sufficient condition and a necessary condition are obtained for the boundedness of the product of two Hankel operators. The

Toeplitz Operators and Hankel Operators
Toeplitz Operators and Hankel Operators on the Hardy Space of the Unit Sphere
✍ Dechao Zheng 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 396 KB

A sufficient condition is found for the product of two Toeplitz operators on the Hardy space of the unit sphere to be a compact perturbation of a Toeplitz operator. The condition leads to a criterion for a Hankel operator to be compact. ## 1997 Academic Press The object of this present paper is to