Non-doubling ahlfors measures, perimeter measures, and the characterization of the trace spaces of sobolev functions in carnot-carathéodory spaces

Donatella Danielli, Nicola Garofalo, Duy Minh Nhieu

研究成果: 雜誌貢獻期刊論文同行評審

62 引文 斯高帕斯(Scopus)

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)1-124
頁數124
期刊Memoirs of the American Mathematical Society
182
發行號857
DOIs
出版狀態已出版 - 7月 2006

指紋

深入研究「Non-doubling ahlfors measures, perimeter measures, and the characterization of the trace spaces of sobolev functions in carnot-carathéodory spaces」主題。共同形成了獨特的指紋。

引用此