Add to ORKGWe show that for 0 < γ, γ ′ < 1 and for measurable subsets of the unit square with Lebesgue measure γ there exist bi-Lipschitz maps with bounded Lipschitz constant (uniformly over all such sets) which are identity on the boundary and increases the Lebesgue measure of the set to at least 1 − γ′.
Abstract. In this short note, we show a lower bound of Ω̃( dε) for the Lipschitz constant of a measu...
AbstractLet Ω⊂Rnbe a non-empty bounded open and convex set and letfbe a real function defined on the...
In this dissertation we study Lipschitz and bi-Lipschitz mappings on abstract, non-smooth metric mea...
Abstract. We prove that, given a planar bi-Lipschitz homeomorphism u defined on the bound-ary of the...
We prove that, given a planar bi-Lipschitz map u defined on the boundary of the unit square, it is p...
We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself wh...
We consider Lipschitz maps with values in quasi-metric spaces and extend such maps to finitely many ...
Abstract. In order to show that the Lipschitz constant for the extension of a complex-valued Lipschi...
We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself wh...
AbstractFor a metric space X, we study the space D∞(X) of bounded functions on X whose pointwise Lip...
If a metric subspace Mo of an arbitrary metric space M carries a doubling measure µ, then there is a...
We study a new bi-Lipschitz invariant #(M) of a metric space M; its finiteness means that Lipschitz ...
We first show that {\sc Lipschitz} mappings transform measurable sets into measurable sets. Then we ...
We first show that {\sc Lipschitz} mappings transform measurable sets into measurable sets. Then we ...
We construct two bi-Lipschitz, volume preserving maps from Euclidean space onto itself which map the...
Abstract. In this short note, we show a lower bound of Ω̃( dε) for the Lipschitz constant of a measu...
AbstractLet Ω⊂Rnbe a non-empty bounded open and convex set and letfbe a real function defined on the...
In this dissertation we study Lipschitz and bi-Lipschitz mappings on abstract, non-smooth metric mea...
Abstract. We prove that, given a planar bi-Lipschitz homeomorphism u defined on the bound-ary of the...
We prove that, given a planar bi-Lipschitz map u defined on the boundary of the unit square, it is p...
We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself wh...
We consider Lipschitz maps with values in quasi-metric spaces and extend such maps to finitely many ...
Abstract. In order to show that the Lipschitz constant for the extension of a complex-valued Lipschi...
We construct two bi-Lipschitz continuous, volume preserving maps from Euclidean space onto itself wh...
AbstractFor a metric space X, we study the space D∞(X) of bounded functions on X whose pointwise Lip...
If a metric subspace Mo of an arbitrary metric space M carries a doubling measure µ, then there is a...
We study a new bi-Lipschitz invariant #(M) of a metric space M; its finiteness means that Lipschitz ...
We first show that {\sc Lipschitz} mappings transform measurable sets into measurable sets. Then we ...
We first show that {\sc Lipschitz} mappings transform measurable sets into measurable sets. Then we ...
We construct two bi-Lipschitz, volume preserving maps from Euclidean space onto itself which map the...
Abstract. In this short note, we show a lower bound of Ω̃( dε) for the Lipschitz constant of a measu...
AbstractLet Ω⊂Rnbe a non-empty bounded open and convex set and letfbe a real function defined on the...
In this dissertation we study Lipschitz and bi-Lipschitz mappings on abstract, non-smooth metric mea...