Extension of smooth functions from finitely connected planar domains

被引：0
|
作者：
Nahum Zobin
机构：
[1] College of William and Mary,Department of Mathematics
来源：
The Journal of Geometric Analysis | 1999年 / 9卷 / 3期
关键词：
46E35; extension of smooth functions; Whitney’s theorem; intrinsic metric;
D O I：
10.1007/BF02921985
中图分类号：
学科分类号：
摘要：
Consider the Sobolev space W∞k(Ω) of functions with bounded kth derivatives defined in a planar domain. We study the problem of extendability of functions from W∞k(Ω) to the whole ℝ2 with preservation of class, i.e., surjectivity of the restriction operator W∞k(ℝ2) → W∞k(Ω).
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页码：491 / 511
页数：20
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