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 2017Show all

4 papers · 1 filter

math.CA2017

Finite distortion Sobolev mappings between manifolds are continuous

Paweł Goldstein, Piotr Hajłasz, Mohammad Reza Pakzad

We prove that if $M$ and $N$ are Riemannian, oriented $n$ -dimensional manifolds without boundary and additionally $N$ is compact, then Sobolev mappings $W^{1, n} (M, N)$ of finite dis…

math.MG2017

Weak BLD mappings and Hausdorff measure

Piotr Hajłasz, Soheil Malekzadeh, Scott Zimmerman

We prove that if $Φ : X \to Y$ a mapping of weak bounded length distortion from a quasiconvex and complete metric space $X$ to any metric space $Y$ , then for any Lipschitz mapping $f:…

math.MG2017

The ( $n + 1$ )-Lipschitz homotopy group of the Heisenberg group $H^{n}$

Piotr Hajłasz

We prove that for $n \geq 2$ , the Lipschitz homotopy group $π_{n + 1}^{Lip} (H^{n}) \neq = 0$ of the Heisenberg group $H^{n}$ is nontrivial.

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…

Finite distortion Sobolev mappings between manifolds are continuous

Weak BLD mappings and Hausdorff measure

The (n+1)-Lipschitz homotopy group of the Heisenberg group Hn

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

The ( $n + 1$ )-Lipschitz homotopy group of the Heisenberg group $H^{n}$