On \(L^{r}\) hypoellipticity of solutions with compact support of the Cauchy-Riemann equation

DOI10.1007/s10231-012-0312-8zbMath1296.32001arXiv1111.3458OpenAlexW2004361893MaRDI QIDQ741293

Samuele Mongodi, Eric Amar

Publication date: 11 September 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3458

zbMATH Keywords

integral representationscompact supportCauchy-Riemann equation\(L^p\) regularity

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items

Certain Contributions to the $$\bar {\partial }$$ -Problem ⋮ Unnamed Item ⋮ Solutions of the \(\bar\partial\)-equation with compact support on Stein and Kähler manifold ⋮ \(L^p\)-theory and Serre duality for the Cauchy-Riemann equation ⋮ An Andreotti-Grauert theorem with $L^r$ estimates

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