Add to ORKGAbstract. We prove that, given a planar bi-Lipschitz homeomorphism u defined on the bound-ary of the unit square, it is possible to extend it to a function v of the whole square, in such a way that v is still bi-Lipschitz. In particular, denoting by L and L ̃ the bi-Lipschitz constants of u and v, with our construction one has L ̃ ≤ CL4 (being C an explicit geometrical constant). The same result was proved in 1980 by Tukia (see [3]), using a completely different argument, but without any estimate on the constant L̃. In particular, the function v can be taken either smooth or (countably) piecewise affine. 1
ABSTRACT. In this paper we discus the radial extension w of a bi-Lipschitz pa-rameterization F (eit)...
We generalize the Lipschitz constant to Whitney’s functions and prove that any Whitney’s function de...
Abstract. Consider a bounded open set U ⊂ Rn and a Lipschitz function g: ∂U → Rm. Does this function...
We prove that, given a planar bi-Lipschitz map u defined on the boundary of the unit square, it is p...
We show that for 0 < γ, γ ′ < 1 and for measurable subsets of the unit square with Lebesgue me...
Abstract. We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximate...
Abstract. In order to show that the Lipschitz constant for the extension of a complex-valued Lipschi...
AbstractLet us consider a Banach space X with the property that every real-valued Lipschitz function...
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W...
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W...
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W...
We study a new bi-Lipschitz invariant #(M) of a metric space M; its finiteness means that Lipschitz ...
Abstract. We construct an invariant of the bi-Lipschitz equivalence of an-alytic function germs ( n;...
In this paper we deal with the task of uniformly approximating an L-bi-Lipschitz curve by means of p...
In this paper we deal with the task of uniformly approximating an L-bi-Lipschitz curve by means of p...
ABSTRACT. In this paper we discus the radial extension w of a bi-Lipschitz pa-rameterization F (eit)...
We generalize the Lipschitz constant to Whitney’s functions and prove that any Whitney’s function de...
Abstract. Consider a bounded open set U ⊂ Rn and a Lipschitz function g: ∂U → Rm. Does this function...
We prove that, given a planar bi-Lipschitz map u defined on the boundary of the unit square, it is p...
We show that for 0 < γ, γ ′ < 1 and for measurable subsets of the unit square with Lebesgue me...
Abstract. We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximate...
Abstract. In order to show that the Lipschitz constant for the extension of a complex-valued Lipschi...
AbstractLet us consider a Banach space X with the property that every real-valued Lipschitz function...
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W...
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W...
We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the W...
We study a new bi-Lipschitz invariant #(M) of a metric space M; its finiteness means that Lipschitz ...
Abstract. We construct an invariant of the bi-Lipschitz equivalence of an-alytic function germs ( n;...
In this paper we deal with the task of uniformly approximating an L-bi-Lipschitz curve by means of p...
In this paper we deal with the task of uniformly approximating an L-bi-Lipschitz curve by means of p...
ABSTRACT. In this paper we discus the radial extension w of a bi-Lipschitz pa-rameterization F (eit)...
We generalize the Lipschitz constant to Whitney’s functions and prove that any Whitney’s function de...
Abstract. Consider a bounded open set U ⊂ Rn and a Lipschitz function g: ∂U → Rm. Does this function...