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Onn-dimensional extensions of Fatou's lemma

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Abstract

Different extension of Fatou's Lemma to several dimensions are discussed and compared. The connection of those results with integral of set-valued mapping is underlined.

Resumé

On discute et compare différentes extensions du Lemma de Fatou au cas de plusieurs variables. La relation de ces résultats avec l'intégrale d'une application multivoque est soulignée.

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Authors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences and Centre de recherches mathématiques, Université de Montréal, Montréal

    Czeslaw Olech

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  1. Czeslaw Olech
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Additional information

Dedicated to H. Knobloch on the occasion of his 60th birthday

Ce rapport a été publié en partie grâce á une subvention du Fonds FCAR pour l'aide et le soutien á la recherche.

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Olech, C. Onn-dimensional extensions of Fatou's lemma. Z. angew. Math. Phys. 38, 266–272 (1987). https://doi.org/10.1007/BF00945411

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  • DOI: https://doi.org/10.1007/BF00945411

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