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Results tagged with compactness
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user 48144
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votes
Accepted
Fréchet-Kolmogorov compactness Theorem for Lp spaces on manifolds
However, there are many criteria for compactness which dispense with this, e.g., one which involves approximability by conditional expectations rather than translates (see, e.g., p. 295 in Bogachev, Measure … There is, in fact, a considerable literature on compactness in $L^p$-spaces which goes back to the 30's. You might want to have a look at a recent article by Krotov in Sb. …
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