关于退化拟正则映射的加权不等式  

Weighed poincaré inequalities associated with degenerate quasiregular mappings

作　　者：刘倩倩[1] 高红亚[2] 展正然[3] 

机构地区：[1]河北大学工商学院,河北保定071000 [2]河北大学数学与计算机学院,河北保定071000 [3]中国地质大学长城学院,河北保定071000

出　　处：《河北大学学报（自然科学版）》2012年第1期17-19,共3页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10971224)

摘　　要：为了研究退化拟正则映射的性质,将拟正则映射的加权Poincaré型不等式进行了推广.首先给出当权重为拟正则映射时的Poincaré型不等式和退化拟正则映射的概念,然后证明了当权重为退化拟正则映射时Poincaré型不等式仍然成立.In order to study the properties of degenerate quasiregular mappings,a weighed Poincaré type inequalities associated with quasiregular mappings is generalized.First the article gives the Poincaré type inequalities which weight is a quasiregular mapping and the definition of degenerate quasiregular mappings,then proves that the Poincaré type inequalities is still right when the weight is degenerate quasiregular mappings.

关 键 词：退化Jacobian行列式 退化拟正则映射 Poincaré型不等式 

分 类 号：O186.15[理学—数学]