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arXiv · 2606.25885

Rhaly-Type Operators in Several Complex Variables

Michael R. Pilla
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Abstract

Recently, a generalization of the Ces\`aro operator to several variables was introduced as a tuple acting on the Drury-Arveson space \cite{P}. We determine the norm of these Ces\`aro-type operators and utilize it along with this Ces\`aro tuple definition to generalize the classical Rhaly operator and recover some basic facts about this operator when applied to the generalization.

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Michael R. Pilla. 2026-06-24. Rhaly-Type Operators in Several Complex Variables. https://arxiv.org/abs/2606.25885

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