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Other Publications Year : 2001

Another look at Sobolev spaces

Jean Bourgain
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  • PersonId : 856016
Haïm Brezis
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Petru Mironescu
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Abstract

The standard seminorm in the space $W^{s,p}$, with $s$<$1$, does not converge, when $s$ approaches $1$, to the corresponding $W^{1,p}$ seminorm. We prove that continuity is restored provided we multiply the $W^{s,p}$ seminorm by an appropriate factor.
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Dates and versions

hal-00747692 , version 1 (01-11-2012)

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  • HAL Id : hal-00747692 , version 1

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Jean Bourgain, Haïm Brezis, Petru Mironescu. Another look at Sobolev spaces. 2001, pp.439-455. ⟨hal-00747692⟩
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