Extension of smooth functions from finitely connected planar domains
- Cite this article as:
- Zobin, N. J Geom Anal (1999) 9: 491. doi:10.1007/BF02921985
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).