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arxiv: 1308.2214 · v1 · pith:L5Z5N76Fnew · submitted 2013-08-09 · 🧮 math.FA · math.OA

Toeplitzness of composition operators in several variables

classification 🧮 math.FA math.OA
keywords compositionoperatorstoeplitznessunitappearasymptoticdimensionsdisk
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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.

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