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Die Lebesgue-Räume L p(Ω)

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Angewandte Funktionalanalysis

Part of the book series: Springer-Lehrbuch Masterclass ((MASTERCLASS))

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Zusammenfassung

Es wird vorausgesetzt, daß der Leser mit den Grundlagen der Lebesgue-Integration vertraut ist. Dieser Abschnitt soll nur die wichtigsten Begriffe und Sätze wiederholen. Für eine genauere Darstellung sei z.B. auf das Buch von Halmos [Hal50] verwiesen.

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Literaturverzeichnis

  1. Halmos, P.R.: Measure Theory. D. van Nostrand, New York (1950)

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  2. Clarkson, J.A.: Uniformly convex spaces. Trans. Amer. Math. Soc., 40,396–414 (1936)

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  3. Adams, R.A.: Sobolev Spaces. Academic Press, New York (1975)

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  4. Hirzebruch, F., Scharlau, W.: Einführung in die Funktionalanalysis.Bibliographisches Institut, Mannheim Wien Zürich (1971)

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Authors and Affiliations

  1. Universität Würzburg, Institut für Mathematik, Am Hubland, 97074, Würzburg, Deutschland

    Prof. Dr. Manfred Dobrowolski

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  1. Prof. Dr. Manfred Dobrowolski
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Correspondence to Manfred Dobrowolski .

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Dobrowolski, M. (2010). Die Lebesgue-Räume L p(Ω). In: Angewandte Funktionalanalysis. Springer-Lehrbuch Masterclass. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15269-6_4

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