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Displaying 1601 –
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Let be a completely regular space, a boundedly complete vector lattice,
The purpose of this paper is to present Fatou type results for a sequence of Pettis integrable functions and multifunctions. We prove the non vacuity of the weak upper limit of a sequence of Pettis integrable functions taking their values in a locally convex space and we deduce a Fatou's lemma for a sequence of convex weak compact valued Pettis integrable multifunctions. We prove as well a Lebesgue theorem for a sequence of Pettis integrable multifunctions with values in the space of convex compact...
Dans cet article, nous établissons dans un premier temps un lemme de l'ombre dans le cas
des variétés géométriquement finies à courbure négative variable. Ce théorème donne des
estimées très précises de la décroissance de la mesure de Patterson des ombres, sur le
bord à l'infini de telles variétés. Nous en déduisons un résultat de non divergence des
horosphères. Plus précisément, nous considérons certaines moyennes naturelles sur de
grandes boules horosphériques, dont nous...
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