1977
DOI: 10.5802/aif.673
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Topologies fines et compactifications associées à certains espaces de Dirichlet

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Cited by 29 publications
(28 citation statements)
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“…The second result is due to Feyel and de la Pradelle [42]. It shows the constructivity of certain measures which do not charge sets a given capacity of which vanishes.…”
Section: 33])mentioning
confidence: 90%
“…The second result is due to Feyel and de la Pradelle [42]. It shows the constructivity of certain measures which do not charge sets a given capacity of which vanishes.…”
Section: 33])mentioning
confidence: 90%
“…[FI], [FLP2] Considérons la fonction G'(^) = / + rfÀ-, qui atteint son maximum sur H en un point p. Admettons pour l'instant que l'on puisse trouver p concentrée sur l'ensemble {/>()}: pour ueM(c), on a:…”
Section: Proposition -On a Cb(e) C: ^(C)unclassified
“…On doit calculer À(^u). Comme ^ est continue sur W (E, [i), on a une majoration de la forme (E,\ji) est représentable par une « distribution d'énergie finie » ayant elle aussi un quasi-support, cela résulte du caractère local (proposition 29c) et de [FLP1], [FLP2], [FLP3]. Ce genre de propriétés est bien connu en théorie du potentiel (espaces de Dirichlet réguliers).…”
Section: Théorème -Supposons Que E Soit Un Espace Lusinien Et Que Cunclassified
“…In Theorem 6 by Feyel and De La Pradelle (1977), it is shown that every continuous linear functional is the difference of two non-negative linear functionals. L 1 (P) is given by the space of c 1,P -equivalence classes of C b (Ω)…”
Section: Proof Of Propositionmentioning
confidence: 99%