Published Paper
Inserted: 20 jul 2015
Last Updated: 19 oct 2020
Journal: Pacific Journal of Mathematics
Volume: 238
Number: 2
Pages: 405-418
Year: 2016
Abstract:
We prove that a planar piecewise linear homeomorphism $\varphi$ defined on the boundary of the square can be extended to a homeomorphism $h$ of the whole square, in such a way that $\
h\
_{\mathit{W}^{1,p}}$ is bounded from above by $\
\varphi \
_{\mathit{W}^{1,p}}$ for every $p \geq 1$.
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