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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

5 votes
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149 views

On the relation between Lipschitz free-spaces

Let $X$ be a pointed metric space, with base point 0. The space of Lipschitz function which preserves the base point, $Lip_0(X)=\{f:X\to\mathbb{R} : f(0)=0\}$ consider with the norm $\|f(x)\|=\sup_{x …
2 votes
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84 views

There is an analogous to the inerpolation theorem of Aronszajn-Gagliardo for multilinear ope...

The Aronszajn-Gagliardo theorem states that on the category $\mathcal B$ of Banach spaces, given $A$ an interpolation space with respect to the couple $\overline A$ there exists an exact interpolation …