researcher

P. Hajłasz

43 papers hereh-index 273.9k citations107 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author5
first author16
middle author6
last author16

Across the 43 of 43 papers where every author was matched, so the position is known.

fields

math.CA12
math.FA11
math.GT8
math.MG7
math.AP3
math.CV1

identity via Semantic Scholar / OpenAlex

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 2022Show all

2 papers · 1 filter

math.FA2022

A simple proof of reflexivity and separability of $N^{1, p}$ Sobolev spaces

Ryan Alvarado, Piotr Hajłasz, Lukáš Malý

We present an elementary proof of a well-known theorem of Cheeger which states that if a metric-measure space $X$ supports a $p$ -Poincaré inequality, then the $N^{1, p} (X)$ Sobolev…

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…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.

A simple proof of reflexivity and separability of N1,p Sobolev spaces

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

A simple proof of reflexivity and separability of $N^{1, p}$ Sobolev spaces

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