Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839466 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 25 Pages |
Abstract
A complete description of traces on RnRn of functions from the weighted Sobolev space W1l(Rn+1,γ), l∈Nl∈N, with weight γ∈A1loc(Rn+1) is obtained. In the case l=1l=1 the proof of the trace theorem is based on a special nonlinear algorithm for constructing a system of tilings of the space RnRn. As the trace of the space W11(Rn+1,γ) we have the new function space Z({γk,m})Z({γk,m}).
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Authors
A.I. Tyulenev,