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A Bounded Linear Extension Operator for $L^{2,p}(\R^2)$
A Bounded Linear Extension Operator math
2010/11/9
For a finite $E \subset \R^2$, $f:E \rightarrow \R$, and $p>2$, we produce a continuous $F:\R^2 \rightarrow \R$ depending linearly on $f$, taking the same values as $f$ on $E$, and with $L^{2,p}(\R^2...