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Results tagged with measure-theory
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user 119793
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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votes
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answer
178
views
Non-linear translation invariant functionals on $L^1$
I have recently come across a class of (possibly non-linear) operators $F$ defined on $L^1$ such that
$F \colon L^1(\mathbb R^d) \to \mathbb [0,+\infty]$;
$F(u(\cdot - z)) = F(u(\cdot))$ for every …
- 4,361