Toeplitzness of composition operators in several variables
Abstract
Motivated by the work of Nazarov and Shapiro on the unit disk, we study asymptotic Toeplitzness of composition operators on the Hardy space of the unit sphere in C^n. We extend some of their results but we also show that new phenomena appear in higher dimensions.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2013
- DOI:
- arXiv:
- arXiv:1308.2214
- Bibcode:
- 2013arXiv1308.2214C
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - Operator Algebras;
- 47B33;
- 47B35
- E-Print:
- 13 pages, to appear in Complex Variables and Elliptic Equations