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 2019Show all

4 papers · 1 filter

math.CV2019★ 11 cited

Analysis on Metric Spaces

Mario Bonk, Luca Capogna, Piotr Hajłasz +2

This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.

math.GT2019

Linking topological spheres

Piotr Hajłasz

There is a topological embedding $ι : S^{1} \to R^{5}$ such that $π_{3} (R^{5} ∖ ι (S^{1})) = 0$ . Therefore, no $3$ -sphere can be linked with $ι(\mathbb{S}^…

math.FA2019★ 1 cited

Sobolev embedding for $M^{1, p}$ spaces is equivalent to a lower bound of the measure

Ryan Alvarado, Przemysław Górka, Piotr Hajłasz

It has been known since 1996 that a lower bound for the measure, $μ (B (x, r)) \geq b r^{s}$ , implies Sobolev embedding theorems for Sobolev spaces $M^{1, p}$ defined on metric-measure spa…

math.FA2019★ 2 cited

A note on metric-measure spaces supporting Poincaré inequalities

Ryan Alvarado, Piotr Hajłasz

Using a method of Korobenko, Maldonado and Rios we show a new characterization of doubling metric-measure spaces supporting Poincaré inequalities without assuming a priori that the…

Analysis on Metric Spaces

Linking topological spheres

Sobolev embedding for M1,p spaces is equivalent to a lower bound of the measure

A note on metric-measure spaces supporting Poincaré inequalities

Sobolev embedding for $M^{1, p}$ spaces is equivalent to a lower bound of the measure