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arXiv · 2606.24710

Ces\`aro-Type Operators Acting on the Drury-Arveson Space

Michael R. Pilla
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Abstract

The celebrated Ces\`aro operator is a well-known operator with interesting connections to a variety of objects in operator theory. Generalizations have been made for Ces\`aro-type operators acting on weighted Hardy spaces but constructing analogs of the Ces\`aro operator for function spaces of several complex variables such as the Drury-Arveson space has yet to be achieved. In this article, we posit a definition we belief is the correct generalization to several variables and establish a few of its basic properties.

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Michael R. Pilla. 2026-06-23. Ces\`aro-Type Operators Acting on the Drury-Arveson Space. https://arxiv.org/abs/2606.24710

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