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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the concept of embedding in function spaces, starting with the equivalence of respective proofs and the elliptic equation. It then delves into the continuous embedding of LP(R) in Wp(R) and the Hölder inequality. The lecture also discusses the decreasing rearrangement of functions, the Lorentz space, and interpolation couples. Hardy-Young inequality is explored, along with the details of the embedding in function spaces and the proof of the inequality.