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\(L^p\) estimates for \(\overline{\partial}\) in some weakly pseudoconvex domains in \(\mathbb{C}^n\)

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Publication:1591412
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DOI10.1007/s002090000156zbMath0978.32033MaRDI QIDQ1591412

H. P. Lee, C. H. Chang

Publication date: 15 January 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)


zbMATH Keywords

weakly pseudoconvex domains\(\overline \partial \)-equation


Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)


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Lp mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates ⋮ On \(L^{r}\) hypoellipticity of solutions with compact support of the Cauchy-Riemann equation




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