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arXiv · 1809.03803

Jump inequalities for translation-invariant operators of Radon type on $\mathbb{Z}^d$

Mariusz Mirek·Elias M. Stein·Pavel Zorin-Kranich
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Abstract

We prove strong jump inequalities for a large class of operators of Radon type in the discrete and ergodic theoretical settings. These inequalities are the $r=2$ endpoints of the $r$-variational estimates studied in arXiv:1512.07523.

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Mariusz Mirek, Elias M. Stein, Pavel Zorin-Kranich. 2018-09-11. Jump inequalities for translation-invariant operators of Radon type on $\mathbb{Z}^d$. https://doi.org/10.1016/j.aim.2020.107065

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