P. Hajłasz

activity

20152026

most citedA note on metric-measure spaces supporting Poincaré inequalities

2 citations · 5 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.MG2022

Smooth approximation of mappings with rank of the derivative at most $1$

Paweł Goldstein, Piotr Hajłasz

It was conjectured that if $f \in C^{1} (R^{n}, R^{n})$ satisfies $rank D f \leq m < n$ everywhere in $R^{n}$ , then $f$ can be uniformly approximated by…

math.MG2021

Lipschitz mappings, metric differentiability, and factorization through metric trees

Behnam Esmayli, Piotr Hajłasz

Given a Lipschitz map $f$ from a cube into a metric space, we find several equivalent conditions for $f$ to have a Lipschitz factorization through a metric tree. As an application…

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.

Smooth approximation of mappings with rank of the derivative at most 1

Lipschitz mappings, metric differentiability, and factorization through metric trees

Weak BLD mappings and Hausdorff measure

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

Smooth approximation of mappings with rank of the derivative at most $1$

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