Non-isotropic weighted Lp estimates for the $$ \bar \partial $$-equation on piecewise smooth strictly pseudoconvex domains期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Non-isotropic weighted Lp estimates for the $$ \bar \partial $$-equation on piecewise smooth strictly pseudoconvex domains

Authors:	Heungju Ahn Hong Rae Cho Jong-Do Park

Institution:	(1) Nims 3F TowerKoreana, 628 Daeduk-Boulevard Yuseong-gu, Daejeon, 305-340, South Korea;(2) Department of Mathematics, Pusan National University, Pusan, 609-735, South Korea;(3) Department of Mathematics, Seoul National University, Seoul, 151-747, South Korea;(4) Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea

Abstract:	In this paper we obtain non-isotropic weighted L ^p estimates with the boundary distance weight function for the $\bar \partial$ -equation on piecewise smooth strictly pseudoconvex domains under a hypothesis of complex transversality in ℂⁿ using the explicit formula of solutions by Berndtsson-Andersson. This work was supported by the Korea Research Foundation Grant funded by Korea Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2005-070-C00007)

Keywords:	non-isotropic norm Cauchy-Riemann equation piecewise strictly pseudoconvex domain
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