Extension of smooth functions from finitely connected planar domains |
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Authors: | Nahum Zobin |
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Institution: | (1) Department of Mathematics, College of William and Mary, Williamsburg, VA |
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Abstract: | 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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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 46E35 |
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