Optimal Lipschitz Estimates for the $\bar\partial$ equation on a class of convex domains

dc.creatorNguyen, Viet-Anh
dc.creatorYoussfi, El Hassan
dc.date2006-11-13
dc.date.accessioned2026-07-07T07:32:52Z
dc.date.available2026-07-07T07:32:52Z
dc.descriptionIn this paper, we consider the Cauchy-Riemann equation $\bar\partial u= f$ in a new class of convex domains in $\C^n.$ We prove that under $L^p$ data, we can choose a solution in the Lipschitz space $Λ_α,$ where $α$ is an optimal positive number given explicitly in terms of $p.$
dc.identifierhttps://arxiv.org/abs/math/0611398
dc.identifierhttp://arxiv.org/abs/math/0611398
dc.identifierAnn. Fac. Sci. Toulouse, 12(2), (2003), 179--243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119263
dc.subjectComplex Variables
dc.subject32A22, 32A25
dc.titleOptimal Lipschitz Estimates for the $\bar\partial$ equation on a class of convex domains
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