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

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math.AP2026

Differentiability of Lipschitz mappings into metric spaces: area and co-area formulas

Behnam Esmayli, Paweł Goldstein, Piotr Hajłasz

We give a self-contained exposition of metric differentiability for Lipschitz mappings from sets in Euclidean spaces into arbitrary metric spaces, together with the corresponding a…

math.AP2026

The Trudinger inequality is true for $M^{1, s}$ spaces

Ryan Alvarado, Ahmed Dughayshim, Piotr Hajłasz

We prove the Trudinger inequality with exponent $\frac{s}{s - 1}$ for $M^{1, s}$ Sobolev spaces on metric measure spaces under the sole measure growth assumption $μ (B (x, r)) \geq b r^{s}$ .…

math.AP2016★ 13 cited

A bridge between Dubovitskii - Federer theorems and the coarea formula

Piotr Hajlasz, Mikhail V. Korobkov, Jan Kristensen

The Morse-Sard theorem requires that a mapping $v : R^{n} \to R^{m}$ is of class $C^{k}$ , $k > n - m$ . In 1957 Dubovitski\uı generalized this result by proving that almost all level sets for a…

Differentiability of Lipschitz mappings into metric spaces: area and co-area formulas

The Trudinger inequality is true for M1,s spaces

A bridge between Dubovitskii - Federer theorems and the coarea formula

The Trudinger inequality is true for $M^{1, s}$ spaces