Toeplitzness of composition operators in several variables
Functional Analysis
2013-08-12 v1 Operator Algebras
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.
Cite
@article{arxiv.1308.2214,
title = {Toeplitzness of composition operators in several variables},
author = {Zeljko Cuckovic and Trieu Le},
journal= {arXiv preprint arXiv:1308.2214},
year = {2013}
}
Comments
13 pages, to appear in Complex Variables and Elliptic Equations