AbstractLet X be a metric space. We study the free Banach space B(X) over X, that is a predual space of the Banach space of all Lipschitz functions on X which preserve a marked point θ∈X. Some applications to the extension theory of Lipschitz and two-Lipschitz functions are obtained
For a Banach space E and a compact metric space (X,d), a function F:X→E is a Lipschitz function if t...
The present thesis is devoted to the geometry of Lipschitz free p-spaces Fp(M) over subsets of finit...
International audienceWe prove that the Lipschitz-free space over a doubling metric space has the bo...
AbstractLet X be a metric space. We study the free Banach space B(X) over X, that is a predual space...
We investigate a way to turn an arbitrary (usually, unbounded) metric space M into a bounded metric ...
Abstract. We show that, given a Banach space X, the Lipschitz-free space over X, denoted by F(X), is...
This thesis is a survey article focusing on the lifting properties and the approximation properties ...
We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to th...
If a metric subspace Mo of an arbitrary metric space M carries a doubling measure µ, then there is a...
The present thesis is devoted to the geometry of Lipschitz free p-spaces Fp(M) over subsets of finit...
AbstractIf X is any separable Banach space containing l1, then there is a Lipschitz quotient map fro...
We will investigate Lipschitz and Hölder continuous maps between a Banach space X and its dual space...
Some aspects of the geometry of Lipschitz free spaces.First and foremost, we give the fundamental pr...
Any Lipschitz map $f\colon M \to N$ between metric spaces can be "linearised" in such a way that it ...
The thesis consists of two papers and one preprint. The two papers are de- voted to the approximatio...
For a Banach space E and a compact metric space (X,d), a function F:X→E is a Lipschitz function if t...
The present thesis is devoted to the geometry of Lipschitz free p-spaces Fp(M) over subsets of finit...
International audienceWe prove that the Lipschitz-free space over a doubling metric space has the bo...
AbstractLet X be a metric space. We study the free Banach space B(X) over X, that is a predual space...
We investigate a way to turn an arbitrary (usually, unbounded) metric space M into a bounded metric ...
Abstract. We show that, given a Banach space X, the Lipschitz-free space over X, denoted by F(X), is...
This thesis is a survey article focusing on the lifting properties and the approximation properties ...
We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to th...
If a metric subspace Mo of an arbitrary metric space M carries a doubling measure µ, then there is a...
The present thesis is devoted to the geometry of Lipschitz free p-spaces Fp(M) over subsets of finit...
AbstractIf X is any separable Banach space containing l1, then there is a Lipschitz quotient map fro...
We will investigate Lipschitz and Hölder continuous maps between a Banach space X and its dual space...
Some aspects of the geometry of Lipschitz free spaces.First and foremost, we give the fundamental pr...
Any Lipschitz map $f\colon M \to N$ between metric spaces can be "linearised" in such a way that it ...
The thesis consists of two papers and one preprint. The two papers are de- voted to the approximatio...
For a Banach space E and a compact metric space (X,d), a function F:X→E is a Lipschitz function if t...
The present thesis is devoted to the geometry of Lipschitz free p-spaces Fp(M) over subsets of finit...
International audienceWe prove that the Lipschitz-free space over a doubling metric space has the bo...
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