Algebras on the unit disk and Toeplitz operators on the Bergman space
✍ Scribed by Rahman Younis; Dechao Zheng
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2000
- Tongue
- English
- Weight
- 828 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
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
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
A subspace \(M \subset L\_{u}^{2}(\Delta)=A\_{2}\) is called an e-subspace if (i) \(\operatorname{dim} M0\) and \(N \geqslant 0\) are integers. For \(k=1\) this implies a sharper form of a theorem of H. Hedenmalm. I 199.3 Academic Press, Inc.