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arXiv · 2509.07659

Sparse domination via the Calder\'on-Zygmund decomposition: the example of Dini-smooth kernels

Fernando Ballesta-Yagüe·José M. Conde-Alonso
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Abstract

In this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis. We then use the one based on the Calder\'on-Zygmund decomposition to prove a dual sparse domination estimate for Calder\'on-Zymgund operators with Dini-smooth kernels, with an eye on the difficulties that arise when trying to transfer the argument to spaces with nondoubling measures.

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Fernando Ballesta-Yagüe, José M. Conde-Alonso. 2025-09-09. Sparse domination via the Calder\'on-Zygmund decomposition: the example of Dini-smooth kernels. https://arxiv.org/abs/2509.07659

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