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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:Heungju AHN Hong Rae CHO Jong-Do PARK 

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.

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