P. Hajłasz

activity

20062026

most citedSobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target

18 citations · 62 across the 31 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.CA2015

A measure and orientation preserving homeomorphism with approximate Jacobian equal $- 1$ almost everywhere

Paweł Goldstein, Piotr Hajłasz

We construct an almost everywhere approximately differentiable, orientation and measure preserving homeomorphism of a unit $n$ -dimensional cube onto itself, whose Jacobian is equal…

math.GT2015

Sobolev Embedding of a Sphere Containing An Arbitrary Cantor Set in the image

Piotr Hajłasz, Xiaodan Zhou

We construct a large class of pathological $n$ -dimensional topological spheres in $R^{n + 1}$ by showing that for any Cantor set $C \subset R^{n + 1}$ there is a top…

math.CA2015★ 1 cited

The Dubovitski\uı-Sard Theorem in Sobolev Spaces

Piotr Hajłasz, Scott Zimmerman

The Sard theorem from 1942 requires that a mapping $f : R^{n} \to R^{m}$ is of class $C^{k}$ , $k > max (n - m, 0)$ . In 1957 Duvovitski\uı generalized Sard's theorem to the…

math.MG2015

A new characterization of the mappings of bounded length distortion

Piotr Hajłasz, Soheil Malekzadeh

In this paper, we present a new characterization of the mappings of bounded length distortion (BLD for short). In the original geometric definition it is assumed that a BLD mapping…

A measure and orientation preserving homeomorphism with approximate Jacobian equal −1 almost everywhere

Sobolev Embedding of a Sphere Containing An Arbitrary Cantor Set in the image

The Dubovitski\uı-Sard Theorem in Sobolev Spaces

A new characterization of the mappings of bounded length distortion

A measure and orientation preserving homeomorphism with approximate Jacobian equal $- 1$ almost everywhere