On Toeplitz-Invariant Subspaces of the Bergman Space
β Scribed by B. Korenblum; M. Stessin
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 524 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-1236
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β¦ Synopsis
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.
π 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 gΓ 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
We study the analogues of the Brown-Halmos theorem for Toeplitz operators on the Bergman space. We show that for f and g harmonic, T f T g =T h only in the trivial case, provided that h is of class C 2 with the invariant laplacian bounded. Here the trivial cases are f Β―or g holomorphic. From this w
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