ON THE SOBOLEV DOLBEAULT COHOMOLOGY OF A DOMAIN WITH PSEUDOCONCAVE BOUNDARIES

作     者：陈健 Jian CHEN

作者机构：School of Mathematics and StatisticsWuhan UniversityWuhan430072China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2024年第44卷第2期

页      面：431-444页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

主　　题：Cauchy-Riemann equations pseudoconcave domains δ-Neumann operator Bergman spaces 

摘      要：In this note,we mainly make use of a method devised by Shaw[15]for studying Sobolev Dolbeault cohomologies of a pseudoconcave domain of the type Ω=Ω\∪_(j=1^(m))Ω_(j),where Ω and {Ω_(j)}_(j=1^(m)■Ω are bounded pseudoconvex domains in ℂ^(n) with smooth boundaries,and Ω_(1),…,Ω_(m) are mutually disjoint.The main results can also be quickly obtained by virtue of[5].