arXiv:1308.2214 Abstract | arXiv Analytics

arXiv:1308.2214 [math.FA]Abstract References Reviews Resources

Toeplitzness of composition operators in several variables

Published 2013-08-09Version 1

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.

Comments: 13 pages, to appear in Complex Variables and Elliptic Equations

Categories: math.FA, math.OA

Subjects: 47B33, 47B35

Keywords: composition operators, study asymptotic toeplitzness, unit disk, hardy space, unit sphere

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