Non-isotropic weighted L^p estimates for the -equation on piecewise smooth strictly pseudoconvex domains
Non-isotropic weighted L^p estimates for the -equation on piecewise smooth strictly pseudoconvex domains作者机构:Nims 3F TowerKoreana628 Daeduk-Boulevard Yuseong-gu Department of MathematicsPusan National University Department of MathematicsSeoul National University Department of MathematicsPohang University of Science and Technology
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2008年第51卷第12期
页 面:2161-2171页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by the Korea Research Foundation Grant funded by Korea Government(MOEHRD Basic Research Promotion Fund)(Grant No.KRF-2005-070-C00007)
主 题:non-isotropic norm Cauchy-Riemann equation piecewise strictly pseudoconvex domain
摘 要:In this paper we obtain non-isotropic weighted Lp estimates with the boundary distance weight function for the-equation on piecewise smooth strictly pseudoconvex domains under a hypoth- esis of complex transversality in Cn using the explicit formula of solutions by Berndtsson-Andersson.