Non Doubling Ahlfors Measures Perimeter Measures and the Characterization of the Trace Spaces of Sobolev Functions in Carnot Caratheodory Spaces is popular PDF and ePub book, written by Donatella Danielli in 2006, it is a fantastic choice for those who relish reading online the Differential equations, Partial genre. Let's immerse ourselves in this engaging Differential equations, Partial book by exploring the summary and details provided below. Remember, Non Doubling Ahlfors Measures Perimeter Measures and the Characterization of the Trace Spaces of Sobolev Functions in Carnot Caratheodory Spaces can be Read Online from any device for your convenience.
Non Doubling Ahlfors Measures Perimeter Measures and the Characterization of the Trace Spaces of Sobolev Functions in Carnot Caratheodory Spaces Book PDF Summary
The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Caratheodory 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.
Detail Book of Non Doubling Ahlfors Measures Perimeter Measures and the Characterization of the Trace Spaces of Sobolev Functions in Carnot Caratheodory Spaces PDF
- Author : Donatella Danielli
- Release : 01 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821839119
- Genre : Differential equations, Partial
- Total Page : 138 pages
- Language : English
- PDF File Size : 20,5 Mb
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