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arXiv · 2112.12570

Inhomogeneous cancellation conditions and Calder\'on-Zygmund type operators on $h^p$

Galia Dafni·Chun Ho Lau·Tiago Picon·Claudio Vasconcelos
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Abstract

In this work we present a new approach to molecules on Goldberg's local Hardy spaces $h^p(\mathbb{R}^n)$, $0<p\leq1$, assuming an appropriate cancellation condition. As applications, we prove a version of Hardy's inequality and improved continuity results for inhomogeneous Calder\'on-Zygmund operators on these spaces.

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Galia Dafni, Chun Ho Lau, Tiago Picon, Claudio Vasconcelos. 2021-12-23. Inhomogeneous cancellation conditions and Calder\'on-Zygmund type operators on $h^p$. https://arxiv.org/abs/2112.12570

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