✦ LIBER ✦

Hankel operators and Toeplitz operators on the Bergman space

✍ Scribed by Dechao Zheng

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 806 KB
Volume: 83
Category: Article
ISSN: 0022-1236
DOI: 10.1016/0022-1236(89)90032-3

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Products of Hankel and Toeplitz Operator

Products of Hankel and Toeplitz Operators on the Bergman Space

✍ Karel Stroethoff; Dechao Zheng 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 245 KB

We consider the question for which square integrable analytic functions f and g on the unit disk the densely defined products T f T gÄ are bounded on the Bergman space. We prove results analogous to those obtained by the second author [17] for such Toeplitz products on the Hardy space. We furthermor

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

Hankel- and Toeplitz-Type Operators on t

Hankel- and Toeplitz-Type Operators on the Unit Ball

✍ Jianxun He 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 129 KB

Let B m be the unit ball in the m-dimensional complex plane C m with the weighted measure From the viewpoint of the Cauchy-Riemann operator we give an orthogonal direct sum decomposition for L 2 B m dµ α z , i.e., L 2 B m dµ α z = ⊕ n∈Z + σ∈ A σ n , where the components A + + + 0 and A ---0 are jus

On Hankel operators associated with a cl

On Hankel operators associated with a class of non-Toeplitz operators

✍ Avraham Feintuch 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 491 KB

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

Generalized Hankel operators on the Fock

Generalized Hankel operators on the Fock space

✍ Georg Schneider; Kristan A. Schneider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB

## Abstract In this paper we study generalized Hankel operators ofthe form : ℱ^2^(|__z__ |^2^) → __L__^2^(|__z__ |^2^). Here, (__f__):= (Id–P~__l__~ )($ \bar z $^k^__f__) and P__l__ is the projection onto __A__~__l__~ ^2^(ℂ, |__z__ |^2^):= cl(span{$ \bar z $^__m__^ __z^n^__ | __m__, __n__ ∈ __N__,