Discreteness and openness of mappings with distortion in Orlicz spaces on ℍ-type Carnot groups

被引：0
|
作者：
Zapadinskaya A.E. [1 ]
机构：
[1] 40014 University of Jyvaskyla, Jyvaskyla
来源：
Siberian Advances in Mathematics | 2008年 / 18卷 / 4期
关键词：
Carnot group; Discrete mapping; Mappings of finite distortion; Open mapping; Orlicz space;
D O I：
10.3103/S1055134408040056
中图分类号：
学科分类号：
摘要：
We prove discreteness and openness of the mappings with finite distortion defined on ℍ-type Carnot groups whose distortion functions belong to certain Orlicz spaces. Similar results in Euclidean spaces were established bymany authors under different assumptions about the mappings and their distortion functions. © Allerton Press, Inc. 2008.
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页码：288 / 302
页数：14
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