Boundary values of differentiable functions defined on an arbitrary domain of a Carnot group |
| |
| Authors: | S K Vodop’yanov I M Pupyshev |
| |
| Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia |
| |
| Abstract: | We study the boundary values of the functions of the Sobolev function spaces W ∞ l and the Nikol’ski? function spaces H ∞ l which are defined on an arbitrary domain of a Carnot group. We obtain some reversible characteristics of the traces of the spaces under consideration on the boundary of the domain of definition and sufficient conditions for extension of the functions of these spaces outside the domain of definition. In some cases these sufficient conditions are necessary. |
| |
| Keywords: | Sobolev space Nikol’ skiĭ space Carnot group trace boundary values Whitney’ s Theorem extension of functions |
| 本文献已被 SpringerLink 等数据库收录！ |
