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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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answers
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Can we obtain topology results using analysis in metric measures spaces?
Let $M$ be a smooth compact manifold. It is known that a lower bound on the Ricci curvature is equivalent to the convexity of the entropy on $\mathcal{P}^2(M)$ (Von Rennesse and Sturm '05), but I don' …
1
vote
The space $L^p(\partial\Omega)$ in cited references
You can find a lot of references about this, some books treat it like folklore since in most applications for PDEs it is the case. But, you can go as far as you want into how relaxed can be the bounda …