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Results tagged with real-analysis
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user 109533
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
3
votes
0
answers
116
views
A matrix-valued analogue of a classical inequality
Let $p \geq 4$ be an even integer. In the study of variational problems in $W^{1, p}$, it is handy to know that for $a, b \in \mathbb R^d$,
$$|a - b|^p \leq 2^{p - 1} (|a|^{p - 2} + |b|^{p - 2}) |a - …
- 708
3
votes
Mass of the push forward of a k-current with fixed orientation
Your assumption that $T$ has direction $e^1 \wedge e^2$ means that for some distribution $u$, $T = u e^1 \wedge e^2$ (actually, since $T$ has finite mass, $u$ is a Radon measure). We're trying to comp …
- 708