We give a characterization of all lower semicontinuous functionals on L^\infty_\mu which can be represented in the form \mu - sup \{ f(x; u) : x \in A\}. We also show by a counterexample that the representation above may fail if the lower semicontinuity condition is dropped.
The class of functionals which can be represented by a supremum.
PRINARI, Francesca Agnese
2002
Abstract
We give a characterization of all lower semicontinuous functionals on L^\infty_\mu which can be represented in the form \mu - sup \{ f(x; u) : x \in A\}. We also show by a counterexample that the representation above may fail if the lower semicontinuity condition is dropped.File in questo prodotto:
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