Piotr Hajłasz
Research Subjects
Piotr Hajłasz has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Bruno Franchi
Università di Bologna
1 shared publication - Juha Kinnunen
Aalto University, Finland
1 shared publication - Paweł Strzelecki
Instytut Matematyki, Uniwersytet Warszawski, Warsaw, Poland
1 shared publication - Pekka Koskela
Department of Mathematics and Statistics, University of Jyväskylä, Jyväskylä, Finland
1 shared publication
Latest Publications
- 1 January 2004
- Published by Springer Nature in Calculus of Variations and Partial Differential Equations
- Vol. 19 (2) , 221-227
Formation of cracks under deformations with finite energy
- 1 January 2004
- Published by Springer Nature in Calculus of Variations and Partial Differential Equations
- Vol. 19 (2) , 221-227
Formation of cracks under deformations with finite energy
- Open Access
- 1 January 2000
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 74, 97-103
How to get rid of one of the weights in a two-weight Poincaré inequality?
We prove that if a Poincaré inequality with two different weights holds on every ball, then a Poincaré inequality with the same weight on both sides holds as well.
- 1 January 2000
- Published by Institute of Mathematics, Polish Academy of Sciences in Annales Polonici Mathematici
- Vol. 74, 97-103
Open AccessHow to get rid of one of the weights in a two-weight Poincaré inequality?
We prove that if a Poincaré inequality with two different weights holds on every ball, then a Poincaré inequality with the same weight on both sides holds as well.
- Open Access
- 31 December 1998
- Published by European Mathematical Society - EMS - Publishing House GmbH in Revista Matemática Iberoamericana
- Vol. 14 (3) , 601-622
Hölder quasicontinuity of Sobolev functions on metric spaces
We prove that every Sobolev function defined on a metric space coincides with a Hölder continuous function outside a set of small Hausdorff content or capacity. Moreover, the Hölder continuous function can be chosen so that it approximates the given function in the Sobolev norm. This is a generalization of a result of Maly [Ma1] to the Sobolev spaces on metric spaces [H1].
- 31 December 1998
- Published by European Mathematical Society - EMS - Publishing House GmbH in Revista Matemática Iberoamericana
- Vol. 14 (3) , 601-622
Open AccessHölder quasicontinuity of Sobolev functions on metric spaces
We prove that every Sobolev function defined on a metric space coincides with a Hölder continuous function outside a set of small Hausdorff content or capacity. Moreover, the Hölder continuous function can be chosen so that it approximates the given function in the Sobolev norm. This is a generalization of a result of Maly [Ma1] to the Sobolev spaces on metric spaces [H1].
- 1 October 1998
- Published by Springer Nature in Mathematische Annalen
- Vol. 312 (2) , 341-362
Subelliptic p -harmonic maps into spheres and the ghost of Hardy spaces
- 1 October 1998
- Published by Springer Nature in Mathematische Annalen
- Vol. 312 (2) , 341-362
Subelliptic p -harmonic maps into spheres and the ghost of Hardy spaces
- 1 December 1996
- Published by Springer Nature in manuscripta mathematica
- Vol. 91 (1) , 61-72
On approximate differentiability of functions with bounded deformation
- 1 December 1996
- Published by Springer Nature in manuscripta mathematica
- Vol. 91 (1) , 61-72
On approximate differentiability of functions with bounded deformation
- 1 August 1996
- Published by Springer Nature in Potential Analysis
- Vol. 5 (4) , 403-415
Sobolev spaces on an arbitrary metric space
- 1 August 1996
- Published by Springer Nature in Potential Analysis
- Vol. 5 (4) , 403-415
Sobolev spaces on an arbitrary metric space
- Open Access
- 1 January 1996
- Published by Institute of Mathematics, Polish Academy of Sciences in Banach Center Publications
- Vol. 33 (1) , 79-83
A counterexample to the $L^{p}$-Hodge decomposition
We construct a bounded domain $Ω ⊂ ℝ^2$ with the cone property and a harmonic function on Ω which belongs to $W_0^{1,p}(Ω)$ for all 1 ≤ p < 4/3. As a corollary we deduce that there is no $L^p$-Hodge decomposition in $L^{p}(Ω,ℝ^2)$ for all p > 4 and that t- 1 January 1996
- Published by Institute of Mathematics, Polish Academy of Sciences in Banach Center Publications
- Vol. 33 (1) , 79-83
Open AccessA counterexample to the $L^{p}$-Hodge decomposition
We construct a bounded domain $Ω ⊂ ℝ^2$ with the cone property and a harmonic function on Ω which belongs to $W_0^{1,p}(Ω)$ for all 1 ≤ p < 4/3. As a corollary we deduce that there is no $L^p$-Hodge decomposition in $L^{p}(Ω,ℝ^2)$ for all p > 4 and that t