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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...
The maximal linear extension theorem in second order arithmetic
maximal linear extension theorem second order arithmetic
2010/12/1
We show that the maximal linear extension theorem for well partial orders is equivalent over RCA0 to ATR0. Analogously, the maximal chain theorem for well partial orders is equivalent to ATR0 over RCA...
