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arXiv · 2606.08600

Crescents and the real variable Cesaro operator

Anil Belli·Ugur Gul·William T. Ross·Aristos Siskakis
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Abstract

This paper explores a version of the classical Ces\`{a}ro integral operator for the Lebesgue space $L^p(0, 1)$ where we discuss its norm, spectral properties, cyclicity, and invariant subspaces. The spectrum of the Ces\`{a}ro operator will be a crescent domain whose geometry depends on $p$. An important tool will be semigroups of weighted composition operators on $L^p(0, 1)$.

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Anil Belli, Ugur Gul, William T. Ross, Aristos Siskakis. 2026-06-07. Crescents and the real variable Cesaro operator. https://arxiv.org/abs/2606.08600

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