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| C_(p,q)~(s+α)-forms Solution of _b-equ ation and Its L_(p,q)~s Estimates | |
| 作者姓名： | MA Zhong-tai |
| 作者单位： | Department of Mathematics，China Coal Economic College，Yantai 264005，China |
| 基金项目： | SupportedbytheNaturalScienceFoundationofShandongProvince(Q99A14 ) |
| 摘 要： | § 1. Introduction TheinhomogeneoustangentialCauchy Riemannoperators,or b complex ,onthebound aryofadomainDinCn(n ≥ 2 ) ,hasplayedanimportantroleinthestudyofboundaryvaluesofholomorphicfunctionsandholomorphicextensioninCn(examplesseeKOHNandROSSI3] ,AndrettiandHILL 4] ) .In 1 977,HENKIN 1 ]wasfirstlyobservedthat,if b equa tions bu =fon Dissolvable ,the (p ,1 ) form ,f ,0≤ p≤ 2 ,mustsatisfythecompatibilitycondition∫ Df∧Ψ =0forall b closed (2 p ,0 ) formsΨonDinwhich… |
| 关 键 词： | inhomogeneous tangential Cauchy-Riemann equations i ntegral representation of b-solving the kernel of Demaily mand Laurent Thiebaut Chern connection Stein manifold L s p q estim ates |
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