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arXiv · 2208.04387

Mixed inequalities for operators associated to critical radius functions with applications to Schr\"odinger type operators

Fabio Berra·Gladis Pradolini·Pablo Quijano
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Abstract

We obtain weighted mixed inequalities for operators associated to a critical radius function. We consider Schr\"odinger Calder\'on-Zygmund operators of $(s,\delta)$ type, for $1<s\leq \infty$ and $0<\delta \leq 1$. We also give estimates of the same type for the associated maximal operators. As an application, we obtain a wide variety of mixed inequalities for Schr\"odinger type singular integrals. As far as we know, these results are a first approach of mixed inequalities in the Schr\"odinger setting.

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Fabio Berra, Gladis Pradolini, Pablo Quijano. 2022-08-08. Mixed inequalities for operators associated to critical radius functions with applications to Schr\"odinger type operators. https://arxiv.org/abs/2208.04387

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