Article ID Journal Published Year Pages File Type
839466 Nonlinear Analysis: Theory, Methods & Applications 2015 25 Pages PDF
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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