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arXiv · 2504.21249

Nonhomogeneous div-curl type estimates for system of complex vector fields on local Hardy spaces

Catarina Machado·Tiago Picon
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Abstract

In this work, we present a nonhomogeneous version of the classical div-curl type estimates in the setup of elliptic system of complex vector fields with constant coefficients on local Hardy space $h^1$. As an application, we obtain a decomposition of the local $bmo$ space via a family of vector fields depending on div-curl terms.

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Catarina Machado, Tiago Picon. 2025-04-30. Nonhomogeneous div-curl type estimates for system of complex vector fields on local Hardy spaces. https://arxiv.org/abs/2504.21249

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