A bounded linear extension operator for L2,p(R2)
成果类型：
Article
署名作者：
Israel, Arie
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2013.178.1.3
发表日期：
2013
页码：
183-230
关键词：
摘要：
Let L-2,L-p(R-2) be the Sobolev space of real-valued functions on the plane whose Hessian belongs to L-p. For any finite subset E subset of R-2 and p > 2, let L-2,L-p(R-2)vertical bar(E) be the space of real-valued functions on E, equipped with the trace seminorm. In this paper we construct a bounded linear extension operator T : L-2,L-p(R-2)vertical bar(E) -> L-2,L-p(R-2). We also provide an explicit formula that approximates the L-2,L-p(R-2)vertical bar(E) trace seminorm.