Piotr Hajłasz

most citedA Marcinkiewicz integral type characterization of the Sobolev space

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2017

Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian

Paweł Goldstein, Piotr Hajłasz

We construct an a.e. approximately differentiable homeomorphism of a unit $n$ -dimensional cube onto itself which is orientation preserving, has the Lusin property (N) and has the J…

math.FA2014★ 2 cited

A Marcinkiewicz integral type characterization of the Sobolev space

Piotr Hajłasz, Zhuomin Liu

In this paper we present a new characterization of the Sobolev space $W^{1, p}$ , $1 < p < \infty$ which is a higher dimensional version of a result of Waterman. We also provide a new an…

math.GT2014

On conditions for unrectifiability of a metric space

Piotr Hajłasz, Soheil Malekzadeh

We find necessary and sufficient conditions for a Lipschitz map $f : R E \to X$ , into a metric space to have the image with the $k$ -dimensional Hausdorff measure equal zero, $…