Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces(Memoirs of the American Mathematical Society)

非双阿尔福尔斯方法,周长方法,Carnot-Caratheodory空间中的Sobolev函数迹空间描述

泛函分析

售   价:
589.00
发货周期:外国库房发货,通常付款后3-5周到货
作      者
出版时间
2006年06月30日
装      帧
平装
ISBN
9780821839119
复制
页      码
119
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 50 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Carathéodory space. Such traces are defined in terms of suitable Besov spaces with respect to a measure which is concentrated on a lower dimensional manifold, and which satisfies an Ahlfors type condition with respect to the standard Lebesgue measure. We also study the extension problem for the relevant Besov spaces. Various concrete applications to the setting of Carnot groups are analyzed in detail and an application to the solvability of the subelliptic Neumann problem is presented.
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个