Barycenter and Young Measures

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Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.

Introduces Lp spaces, covering norms, inequalities, and integrability of functions.

Covers normed spaces, Banach spaces, and Hilbert spaces, as well as dual spaces and weak convergence.

Covers advanced topics in mathematical analysis, including cubes, electrical operators, LP spaces, and compact operators.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

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Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.