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Part of the book series: Applied Mathematical Sciences ((AMS,volume 78))

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We have gathered in this chapter the notation and the most important results on different function spaces that we have used or will use throughout the book. We precisely fix the notations and state the theorems. But we provide almost no proof, since the results are standard.

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© 2008 Springer Science+Business Media, LLC

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(2008). Function spaces. In: Direct Methods in the Calculus of Variations. Applied Mathematical Sciences, vol 78. Springer, New York, NY. https://doi.org/10.1007/978-0-387-55249-1_12

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