Author

Piotr Hajłasz

Observed names: Hajlasz, Piotr, Haj{\l}asz, Piotr, Hajłasz Piotr, Hajłasz, Piotr, P. Hajłasz, Piotr Haj, Piotr Hajlasz, Piotr HajŁasz, Piotr Hajłasz A

Observed institutions: University of California, Los Angeles, University of Pittsburgh, Charles University, Max Planck Institute for Mathematics in the Sciences, Institute of Mathematics, University of Warsaw

ORCID: 0000-0001-5121-4939

Observed ORCID: 0000-0001-5121-4939

OpenAlex ID: A5088577458

Sobolev met Poincaré

2000 · Piotr Hajłasz, Pekka Koskela · Memoirs of the American Mathematical Society · 892

Sobolev spaces on an arbitrary metric space

1996 · Piotr Hajłasz · Potential Analysis · 574

Change of variables formula under minimal assumptions

1993 · Piotr Hajłasz · Colloquium Mathematicum · 158

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Sobolev spaces on metric-measure spaces

2003 · Piotr Hajłasz · Contemporary mathematics - American Mathematical Society · 156

Sobolev embeddings, extensions and measure density condition

2008 · Piotr Hajłasz, Pekka Koskela, et al. · Journal of Functional Analysis · 150

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Definitions of Sobolev classes on metric spaces

1999 · Bruno Franchi, Piotr Hajłasz, et al. · Annales de l’institut Fourier · 144

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On Boundedness of Maximal Functions in Sobolev Spaces

2004 · Piotr Hajłasz, Jani Onninen · Annales Academiae Scientiarum Fennicae Mathematica · 108

Traces of Sobolev Functions on Fractal Type Sets and Characterization of Extension Domains

1997 · Piotr Hajłasz, Olli Martio · Journal of Functional Analysis · 105

Pointwise inequalities for Sobolev functions and some applications

1993 · Bogdan Bojarski, Piotr Hajłasz · Studia Mathematica · 104

Isoperimetric Inequalities and Imbedding Theorems in Irregular Domains

1998 · Piotr Hajłasz, Pekka Koskela · Journal of the London Mathematical Society · 95

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Hölder quasicontinuity of Sobolev functions on metric spaces

1998 · Piotr Hajłasz, Juha Kinnunen · Revista Matemática Iberoamericana · 92

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Pointwise Hardy inequalities

1999 · Piotr Hajłasz · Proceedings of the American Mathematical Society · 75

Measure density and extendability of Sobolev functions

2008 · Piotr Hajłasz, Pekka Koskela, et al. · Revista Matemática Iberoamericana · 65

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On approximate differentiability of the maximal function

2010 · Piotr Hajłasz, Jan Malý · Proceedings of the American Mathematical Society · 56

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Approximation of sobolev mappings

1994 · Piotr HajŁasz · Nonlinear Analysis · 45

Sard's theorem for mappings in Hölder and Sobolev spaces

2005 · Bogdan Bojarski, Piotr Hajłasz, et al. · manuscripta mathematica · 43

Sobolev Mappings between Manifolds and Metric Spaces

2008 · Piotr Hajlasz · International mathematical series · 41

A new characterization of the Sobolev space

2003 · Piotr Hajłasz · Studia Mathematica · 35

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Approximation in Sobolev spaces of nonlinear expressions involving the gradient

2002 · Piotr Hajłasz, Jan Malý · Arkiv för matematik · 32

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Subelliptic p -harmonic maps into spheres and the ghost of Hardy spaces

1998 · Piotr Hajłasz, Paweł Strzelecki · Mathematische Annalen · 32

Weakly differentiable mappings between manifolds

2008 · Piotr Hajłasz, Tadeusz Iwaniec, et al. · Memoirs of the American Mathematical Society · 30

On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target

2014 · Noel DeJarnette, Piotr Hajłasz, et al. · Conformal Geometry and Dynamics of the American Mathematical Society · 29

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Sobolev Peano cubes

2008 · Piotr Hajłasz, Jeremy Tyson · The Michigan Mathematical Journal · 29

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

2020 · Ryan Alvarado, Przemysław Górka, et al. · Journal of Functional Analysis · 27

Whitney’s example by way of Assouad’s embedding

2003 · Piotr Hajłasz · Proceedings of the American Mathematical Society · 27

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Works count: 132

Citation count: 3,571

H-index: 25

I10-index: 39