Edit Profile (opens in new tab) Hajłasz, Piotr Co-Author Distance Author ID: hajlasz.piotr Published as: Hajłasz, Piotr; Hajlasz, Piotr Homepage: http://www.pitt.edu/~hajlasz/OriginalPublications/Publications3.html External Links: MGP · Wikidata · Google Scholar · MathOverflow · dblp · GND · IdRef Documents Indexed: 86 Publications since 1993, including 2 Books and 2 Additional arXiv Preprints Co-Authors: 37 Co-Authors with 62 Joint Publications 662 Co-Co-Authors all top 5 Co-Authors 24 single-authored 11 Goldstein, Paweł 7 Koskela, Pekka 6 Strzelecki, Paweł 4 Azagra, Daniel 4 Liu, Zhuomin 4 Zimmerman, Scott 3 Alvarado, Ryan 3 Bojarski, Bogdan 3 Malekzadeh, Soheil 3 Malý, Jan 3 Schikorra, Armin 3 Tyson, Jeremy T. 2 Drake, Marjorie K. 2 Esmayli, Behnam 2 Franchi, Bruno 2 Grochulska, Zofia 2 Onninen, Jani 2 Tuominen, Heli 1 Balogh, Zoltán M. 1 Cappello, Anthony 1 Dejarnette, Noel 1 Gong, Jasun 1 Górka, Przemysław 1 Iwaniec, Tadeusz 1 Kałamajska, Agnieszka 1 Kinnunen, Juha 1 Korobkov, Mikhail V. 1 Kristensen, Jan 1 Lukyanenko, Anton 1 Malý, Lukáš 1 Martio, Olli 1 Mirra, Jacob 1 Pakzad, Mohammad Reza 1 Pankka, Pekka 1 Wildrick, Kevin 1 Zhong, Xiao 1 Zhou, Xiaodan all top 5 Serials 7 Proceedings of the American Mathematical Society 4 Colloquium Mathematicum 4 Indiana University Mathematics Journal 4 Journal of Functional Analysis 4 IMRN. International Mathematics Research Notices 3 Studia Mathematica 3 Manuscripta Mathematica 3 Calculus of Variations and Partial Differential Equations 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Analysis and Geometry in Metric Spaces 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 2 Geometric and Functional Analysis. GAFA 2 Potential Analysis 2 Annales Fennici Mathematici 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Michigan Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Publicacions Matemàtiques 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Journal of Convex Analysis 1 Conformal Geometry and Dynamics 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the American Mathematical Society. Series B all top 5 Fields 54 Functional analysis (46-XX) 18 Real functions (26-XX) 18 Measure and integration (28-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Functions of a complex variable (30-XX) 14 Differential geometry (53-XX) 8 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Manifolds and cell complexes (57-XX) 5 Potential theory (31-XX) 5 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 5 Algebraic topology (55-XX) 5 Mechanics of deformable solids (74-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 2,464 times in 1,560 Documents Cited by ▼ Year ▼ Sobolev met Poincaré. Zbl 0954.46022 Hajłasz, Piotr; Koskela, Pekka 571 2000 Sobolev spaces on an arbitrary metric space. Zbl 0859.46022 Hajłasz, Piotr 329 1996 Sobolev spaces on metric-measure spaces. Zbl 1048.46033 Hajłasz, Piotr 175 2003 Sobolev meets Poincaré. Zbl 0837.46024 Hajłasz, Piotr; Koskela, Pekka 107 1995 On boundedness of maximal functions in Sobolev spaces. Zbl 1059.46020 Hajłasz, Piotr; Onninen, Jani 89 2004 Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 86 2008 Change of variables formula under minimal assumptions. Zbl 0840.26009 Hajłasz, Piotr 86 1993 Definitions of Sobolev classes on metric spaces. Zbl 0938.46037 Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka 81 1999 Pointwise inequalities for Sobolev functions and some applications. Zbl 0810.46030 Bojarski, Bogdan; Hajłasz, Piotr 76 1993 Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025 Hajłasz, Piotr; Martio, Olli 68 1997 Hölder quasicontinuity of Sobolev functions on metric spaces. Zbl 1155.46306 Hajłasz, Piotr; Kinnunen, Juha 57 1998 Isoperimetric inequalities and imbedding theorems in irregular domains. Zbl 0922.46034 Hajłasz, Piotr; Koskela, Pekka 54 1998 On approximate differentiability of the maximal function. Zbl 1187.42016 Hajłasz, Piotr; Maly, Jan 48 2010 Measure density and extendability of Sobolev functions. Zbl 1226.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 42 2008 Pointwise Hardy inequalities. Zbl 0911.31005 Hajlasz, Piotr 41 1999 Sard’s theorem for mappings in Hölder and Sobolev spaces. Zbl 1098.46024 Bojarski, Bogdan; Hajłasz, Piotr; Strzelecki, Paweł 35 2005 Sobolev inequalities, truncation method, and John domains. Zbl 1011.46029 Hajłasz, Piotr 28 2001 Improved \(C^{k,\lambda}\) approximation of higher order Sobolev functions in norm and capacity. Zbl 1036.46023 Bojarski, Bogdan; Hajłasz, Piotr; Strzelecki, Paweł 28 2002 Sobolev mappings, co-area formula and related topics. Zbl 0988.28002 Hajłasz, Piotr 26 2000 Sobolev mappings between manifolds and metric spaces. Zbl 1163.58300 Hajlasz, Piotr 25 2009 Approximation of Sobolev mappings. Zbl 0820.46028 Hajłasz, Piotr 21 1994 Approximation in Sobolev spaces of nonlinear expressions involving the gradient. Zbl 1029.46028 Hajłasz, Piotr; Malý, Jan 18 2002 Weakly differentiable mappings between manifolds. Zbl 1145.58006 Hajłasz, Piotr; Iwaniec, Tadeusz; Malý, Jan; Onninen, Jani 18 2008 Sobolev Peano cubes. Zbl 1165.28004 Hajłasz, Piotr; Tyson, Jeremy 18 2008 Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure. Zbl 1467.30036 Alvarado, Ryan; Górka, Przemysław; Hajłasz, Piotr 16 2020 On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Zbl 1316.46034 Dejarnette, Noel; Hajłasz, Piotr; Lukyanenko, Anton; Tyson, Jeremy T. 16 2014 Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces. Zbl 0914.35029 Hajłasz, Piotr; Strzelecki, Paweł 15 1998 On approximate differentiability of functions with bounded deformation. Zbl 0868.46024 Hajłasz, Piotr 14 1996 A new characterization of the Sobolev space. Zbl 1059.46021 Hajłasz, Piotr 13 2003 Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups. Zbl 1332.55007 Hajłasz, Piotr; Schikorra, Armin; Tyson, Jeremy T. 13 2014 A note on weak approximation of minors. Zbl 0910.49025 Hajłasz, Piotr 10 1995 Geodesics in the Heisenberg group. Zbl 1328.53039 Hajłasz, Piotr; Zimmerman, Scott 10 2015 Whitney’s example by way of Assouad’s embedding. Zbl 1061.26010 Hajlasz, Piotr 10 2003 The coarea inequality. Zbl 1480.28004 Esmayli, Behnam; Hajłasz, Piotr 10 2021 Lusin-type properties of convex functions and convex bodies. Zbl 1492.26012 Azagra, Daniel; Hajłasz, Piotr 10 2021 Polynomial asymptotics and approximation of Sobolev functions. Zbl 0823.46036 Hajłasz, Piotr; Kałamajska, Agnieszka 9 1995 A bridge between Dubovitskiĭ-Federer theorems and the coarea formula. Zbl 1416.58004 Hajłasz, Piotr; Korobkov, Mikhail V.; Kristensen, Jan 9 2017 A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere. Zbl 1456.37002 Goldstein, Paweł; Hajłasz, Piotr 9 2017 A Marcinkiewicz integral type characterization of the Sobolev space. Zbl 1376.46027 Hajłasz, Piotr; Liu, Zhuomin 9 2017 Weak contact equations for mappings into Heisenberg groups. Zbl 1316.53034 Balogh, Zoltán M.; Hajłasz, Piotr; Wildrick, Kevin 9 2014 Geometric approach to Sobolev spaces and badly degenerated elliptic equations. Zbl 0877.46024 Hajlasz, Piotr 8 1995 Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target. Zbl 1132.46023 Hajłasz, Piotr 8 2007 A compact embedding of a Sobolev space is equivalent to an embedding into a better space. Zbl 1203.46020 Hajłasz, Piotr; Liu, Zhuomin 8 2010 On conditions for unrectifiability of a metric space. Zbl 1321.28008 Hajłasz, Piotr; Malekzadeh, Soheil 7 2015 The Dubovitskiĭ-Sard theorem in Sobolev spaces. Zbl 1377.46025 Hajłasz, Piotr; Zimmerman, Scott 7 2017 Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces. Zbl 1314.46042 Hajłasz, Piotr; Schikorra, Armin 7 2014 Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian. Zbl 1392.26022 Goldstein, Paweł; Hajłasz, Piotr 6 2018 Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces. Zbl 1175.46022 Hajłasz, Piotr 5 2009 Differentiability of \(p\)-harmonic functions on metric measure spaces. Zbl 1257.49010 Gong, Jasun; Hajłasz, Piotr 5 2013 Sobolev spaces, Lebesgue points and maximal functions. Zbl 1282.46033 Hajłasz, Piotr; Liu, Zhuomin 5 2013 A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two. Zbl 1157.35041 Hajłasz, Piotr; Strzelecki, Paweł; Zhong, Xiao 4 2008 How to get rid of one of the weights in a two-weight Poincaré inequality? Zbl 0965.46021 Franchi, Bruno; Hajłasz, Piotr 4 2000 Maximal potentials, maximal singular integrals, and the spherical maximal function. Zbl 1306.42034 Hajłasz, Piotr; Liu, Zhuomin 4 2014 A note on metric-measure spaces supporting Poincaré inequalities. Zbl 1439.30090 Alvarado, Ryan; Hajłasz, Piotr 4 2020 Topologically nontrivial counterexamples to Sard’s theorem. Zbl 1491.58005 Goldstein, Paweł; Hajłasz, Piotr; Pankka, Pekka 4 2020 Finite distortion Sobolev mappings between manifolds are continuous. Zbl 1457.58005 Goldstein, Paweł; Hajłasz, Piotr; Pakzad, Mohammad Reza 4 2019 On an old theorem of Erdős about ambiguous locus. Zbl 1498.52026 Hajłasz, Piotr 4 2022 On the differentiability of solutions of quasilinear elliptic equations. Zbl 0822.35023 Hajłasz, Piotr; Strzelecki, Paweł 3 1993 Note on Meyers-Serrin’s theorem. Zbl 0799.46042 Hajłasz, Piotr 3 1993 Equivalent statement of the Poincaré conjecture. Zbl 0820.46027 Hajłasz, Piotr 3 1994 Sobolev mappings, degree, homotopy classes and rational homology spheres. Zbl 1262.58010 Goldstein, Paweł; Hajłasz, Piotr 3 2012 Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2]\). Zbl 1414.26026 Goldstein, Paweł; Hajłasz, Piotr 3 2019 A new characterization of the mappings of bounded length distortion. Zbl 1353.30024 Hajłasz, Piotr; Malekzadeh, Soheil 3 2015 The (\(n+1\))-Lipschitz homotopy group of the Heisenberg group \(\mathbb {H}^n\). Zbl 1384.53034 Hajłasz, Piotr 3 2018 The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036 Hajłasz, Piotr; Mirra, Jacob 3 2013 An implicit theorem for Lipschitz mappings into metric spaces. Zbl 1443.51005 Hajlasz, Piotr; Zimmerman, Scott 3 2020 Weak BLD mappings and Hausdorff measure. Zbl 1404.30067 Hajłasz, Piotr; Malekzadeh, Soheil; Zimmerman, Scott 3 2018 How to measure volume with a thread. Zbl 1110.28002 Hajłasz, Piotr; Strzelecki, Paweł 2 2005 Sobolev embedding of a sphere containing an arbitrary Cantor set in the image. Zbl 1361.46029 Hajłasz, Piotr; Zhou, Xiaodan 2 2016 Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion. Zbl 1412.30092 Goldstein, Paweł; Hajłasz, Piotr 2 2019 Lipschitz mappings, metric differentiability, and factorization through metric trees. Zbl 1538.28010 Esmayli, Behnam; Hajłasz, Piotr 2 2022 A geometric approach to second-order differentiability of convex functions. Zbl 07766042 Azagra, Daniel; Cappello, Anthony; Hajłasz, Piotr 2 2023 Sobolev mappings: Lipschitz density is not an isometric invariant of the target. Zbl 1229.46024 Hajłasz, Piotr 2 2011 \(C^{1}\) mappings in \(\mathbb{R}^5\) with derivative of rank at most 3 cannot be uniformly approximated by \(C^{2}\) mappings with derivative of rank at most 3. Zbl 1402.26008 Goldstein, Paweł; Hajłasz, Piotr 2 2018 A simple proof of reflexivity and separability of \(N^{1, p}\) Sobolev spaces. Zbl 1529.46029 Alvarado, Ryan; Hajłasz, Piotr; Malý, Lukáš 2 2023 A Sard type theorem for Borel mappings. Zbl 0834.28002 Hajłasz, Piotr 1 1994 Boundary behaviour of Sobolev mappings. Zbl 0828.46030 Hajłasz, Piotr 1 1995 A counterexample to the \(L^ p\)-Hodge decomposition. Zbl 0846.35035 Hajłasz, Piotr 1 1996 Formation of cracks under deformations with finite energy. Zbl 1064.74023 Hajłasz, Piotr; Koskela, Pekka 1 2004 \(C^2\)-Lusin approximation of strongly convex functions. Zbl 07846293 Azagra, Daniel; Drake, Marjorie; Hajłasz, Piotr 1 2024 \(C^2\)-Lusin approximation of strongly convex functions. Zbl 07846293 Azagra, Daniel; Drake, Marjorie; Hajłasz, Piotr 1 2024 A geometric approach to second-order differentiability of convex functions. Zbl 07766042 Azagra, Daniel; Cappello, Anthony; Hajłasz, Piotr 2 2023 A simple proof of reflexivity and separability of \(N^{1, p}\) Sobolev spaces. Zbl 1529.46029 Alvarado, Ryan; Hajłasz, Piotr; Malý, Lukáš 2 2023 On an old theorem of Erdős about ambiguous locus. Zbl 1498.52026 Hajłasz, Piotr 4 2022 Lipschitz mappings, metric differentiability, and factorization through metric trees. Zbl 1538.28010 Esmayli, Behnam; Hajłasz, Piotr 2 2022 The coarea inequality. Zbl 1480.28004 Esmayli, Behnam; Hajłasz, Piotr 10 2021 Lusin-type properties of convex functions and convex bodies. Zbl 1492.26012 Azagra, Daniel; Hajłasz, Piotr 10 2021 Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure. Zbl 1467.30036 Alvarado, Ryan; Górka, Przemysław; Hajłasz, Piotr 16 2020 A note on metric-measure spaces supporting Poincaré inequalities. Zbl 1439.30090 Alvarado, Ryan; Hajłasz, Piotr 4 2020 Topologically nontrivial counterexamples to Sard’s theorem. Zbl 1491.58005 Goldstein, Paweł; Hajłasz, Piotr; Pankka, Pekka 4 2020 An implicit theorem for Lipschitz mappings into metric spaces. Zbl 1443.51005 Hajlasz, Piotr; Zimmerman, Scott 3 2020 Finite distortion Sobolev mappings between manifolds are continuous. Zbl 1457.58005 Goldstein, Paweł; Hajłasz, Piotr; Pakzad, Mohammad Reza 4 2019 Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2]\). Zbl 1414.26026 Goldstein, Paweł; Hajłasz, Piotr 3 2019 Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion. Zbl 1412.30092 Goldstein, Paweł; Hajłasz, Piotr 2 2019 Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian. Zbl 1392.26022 Goldstein, Paweł; Hajłasz, Piotr 6 2018 The (\(n+1\))-Lipschitz homotopy group of the Heisenberg group \(\mathbb {H}^n\). Zbl 1384.53034 Hajłasz, Piotr 3 2018 Weak BLD mappings and Hausdorff measure. Zbl 1404.30067 Hajłasz, Piotr; Malekzadeh, Soheil; Zimmerman, Scott 3 2018 \(C^{1}\) mappings in \(\mathbb{R}^5\) with derivative of rank at most 3 cannot be uniformly approximated by \(C^{2}\) mappings with derivative of rank at most 3. Zbl 1402.26008 Goldstein, Paweł; Hajłasz, Piotr 2 2018 A bridge between Dubovitskiĭ-Federer theorems and the coarea formula. Zbl 1416.58004 Hajłasz, Piotr; Korobkov, Mikhail V.; Kristensen, Jan 9 2017 A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere. Zbl 1456.37002 Goldstein, Paweł; Hajłasz, Piotr 9 2017 A Marcinkiewicz integral type characterization of the Sobolev space. Zbl 1376.46027 Hajłasz, Piotr; Liu, Zhuomin 9 2017 The Dubovitskiĭ-Sard theorem in Sobolev spaces. Zbl 1377.46025 Hajłasz, Piotr; Zimmerman, Scott 7 2017 Sobolev embedding of a sphere containing an arbitrary Cantor set in the image. Zbl 1361.46029 Hajłasz, Piotr; Zhou, Xiaodan 2 2016 Geodesics in the Heisenberg group. Zbl 1328.53039 Hajłasz, Piotr; Zimmerman, Scott 10 2015 On conditions for unrectifiability of a metric space. Zbl 1321.28008 Hajłasz, Piotr; Malekzadeh, Soheil 7 2015 A new characterization of the mappings of bounded length distortion. Zbl 1353.30024 Hajłasz, Piotr; Malekzadeh, Soheil 3 2015 On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Zbl 1316.46034 Dejarnette, Noel; Hajłasz, Piotr; Lukyanenko, Anton; Tyson, Jeremy T. 16 2014 Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups. Zbl 1332.55007 Hajłasz, Piotr; Schikorra, Armin; Tyson, Jeremy T. 13 2014 Weak contact equations for mappings into Heisenberg groups. Zbl 1316.53034 Balogh, Zoltán M.; Hajłasz, Piotr; Wildrick, Kevin 9 2014 Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces. Zbl 1314.46042 Hajłasz, Piotr; Schikorra, Armin 7 2014 Maximal potentials, maximal singular integrals, and the spherical maximal function. Zbl 1306.42034 Hajłasz, Piotr; Liu, Zhuomin 4 2014 Differentiability of \(p\)-harmonic functions on metric measure spaces. Zbl 1257.49010 Gong, Jasun; Hajłasz, Piotr 5 2013 Sobolev spaces, Lebesgue points and maximal functions. Zbl 1282.46033 Hajłasz, Piotr; Liu, Zhuomin 5 2013 The Lusin theorem and horizontal graphs in the Heisenberg group. Zbl 1286.46036 Hajłasz, Piotr; Mirra, Jacob 3 2013 Sobolev mappings, degree, homotopy classes and rational homology spheres. Zbl 1262.58010 Goldstein, Paweł; Hajłasz, Piotr 3 2012 Sobolev mappings: Lipschitz density is not an isometric invariant of the target. Zbl 1229.46024 Hajłasz, Piotr 2 2011 On approximate differentiability of the maximal function. Zbl 1187.42016 Hajłasz, Piotr; Maly, Jan 48 2010 A compact embedding of a Sobolev space is equivalent to an embedding into a better space. Zbl 1203.46020 Hajłasz, Piotr; Liu, Zhuomin 8 2010 Sobolev mappings between manifolds and metric spaces. Zbl 1163.58300 Hajlasz, Piotr 25 2009 Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces. Zbl 1175.46022 Hajłasz, Piotr 5 2009 Sobolev embeddings, extensions and measure density condition. Zbl 1136.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 86 2008 Measure density and extendability of Sobolev functions. Zbl 1226.46029 Hajłasz, Piotr; Koskela, Pekka; Tuominen, Heli 42 2008 Weakly differentiable mappings between manifolds. Zbl 1145.58006 Hajłasz, Piotr; Iwaniec, Tadeusz; Malý, Jan; Onninen, Jani 18 2008 Sobolev Peano cubes. Zbl 1165.28004 Hajłasz, Piotr; Tyson, Jeremy 18 2008 A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two. Zbl 1157.35041 Hajłasz, Piotr; Strzelecki, Paweł; Zhong, Xiao 4 2008 Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target. Zbl 1132.46023 Hajłasz, Piotr 8 2007 Sard’s theorem for mappings in Hölder and Sobolev spaces. Zbl 1098.46024 Bojarski, Bogdan; Hajłasz, Piotr; Strzelecki, Paweł 35 2005 How to measure volume with a thread. Zbl 1110.28002 Hajłasz, Piotr; Strzelecki, Paweł 2 2005 On boundedness of maximal functions in Sobolev spaces. Zbl 1059.46020 Hajłasz, Piotr; Onninen, Jani 89 2004 Formation of cracks under deformations with finite energy. Zbl 1064.74023 Hajłasz, Piotr; Koskela, Pekka 1 2004 Sobolev spaces on metric-measure spaces. Zbl 1048.46033 Hajłasz, Piotr 175 2003 A new characterization of the Sobolev space. Zbl 1059.46021 Hajłasz, Piotr 13 2003 Whitney’s example by way of Assouad’s embedding. Zbl 1061.26010 Hajlasz, Piotr 10 2003 Improved \(C^{k,\lambda}\) approximation of higher order Sobolev functions in norm and capacity. Zbl 1036.46023 Bojarski, Bogdan; Hajłasz, Piotr; Strzelecki, Paweł 28 2002 Approximation in Sobolev spaces of nonlinear expressions involving the gradient. Zbl 1029.46028 Hajłasz, Piotr; Malý, Jan 18 2002 Sobolev inequalities, truncation method, and John domains. Zbl 1011.46029 Hajłasz, Piotr 28 2001 Sobolev met Poincaré. Zbl 0954.46022 Hajłasz, Piotr; Koskela, Pekka 571 2000 Sobolev mappings, co-area formula and related topics. Zbl 0988.28002 Hajłasz, Piotr 26 2000 How to get rid of one of the weights in a two-weight Poincaré inequality? Zbl 0965.46021 Franchi, Bruno; Hajłasz, Piotr 4 2000 Definitions of Sobolev classes on metric spaces. Zbl 0938.46037 Franchi, Bruno; Hajłasz, Piotr; Koskela, Pekka 81 1999 Pointwise Hardy inequalities. Zbl 0911.31005 Hajlasz, Piotr 41 1999 Hölder quasicontinuity of Sobolev functions on metric spaces. Zbl 1155.46306 Hajłasz, Piotr; Kinnunen, Juha 57 1998 Isoperimetric inequalities and imbedding theorems in irregular domains. Zbl 0922.46034 Hajłasz, Piotr; Koskela, Pekka 54 1998 Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces. Zbl 0914.35029 Hajłasz, Piotr; Strzelecki, Paweł 15 1998 Traces of Sobolev functions on fractal type sets and characterization of extension domains. Zbl 0877.46025 Hajłasz, Piotr; Martio, Olli 68 1997 Sobolev spaces on an arbitrary metric space. Zbl 0859.46022 Hajłasz, Piotr 329 1996 On approximate differentiability of functions with bounded deformation. Zbl 0868.46024 Hajłasz, Piotr 14 1996 A counterexample to the \(L^ p\)-Hodge decomposition. Zbl 0846.35035 Hajłasz, Piotr 1 1996 Sobolev meets Poincaré. Zbl 0837.46024 Hajłasz, Piotr; Koskela, Pekka 107 1995 A note on weak approximation of minors. Zbl 0910.49025 Hajłasz, Piotr 10 1995 Polynomial asymptotics and approximation of Sobolev functions. Zbl 0823.46036 Hajłasz, Piotr; Kałamajska, Agnieszka 9 1995 Geometric approach to Sobolev spaces and badly degenerated elliptic equations. Zbl 0877.46024 Hajlasz, Piotr 8 1995 Boundary behaviour of Sobolev mappings. Zbl 0828.46030 Hajłasz, Piotr 1 1995 Approximation of Sobolev mappings. Zbl 0820.46028 Hajłasz, Piotr 21 1994 Equivalent statement of the Poincaré conjecture. Zbl 0820.46027 Hajłasz, Piotr 3 1994 A Sard type theorem for Borel mappings. Zbl 0834.28002 Hajłasz, Piotr 1 1994 Change of variables formula under minimal assumptions. Zbl 0840.26009 Hajłasz, Piotr 86 1993 Pointwise inequalities for Sobolev functions and some applications. Zbl 0810.46030 Bojarski, Bogdan; Hajłasz, Piotr 76 1993 On the differentiability of solutions of quasilinear elliptic equations. Zbl 0822.35023 Hajłasz, Piotr; Strzelecki, Paweł 3 1993 Note on Meyers-Serrin’s theorem. Zbl 0799.46042 Hajłasz, Piotr 3 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,291 Authors 50 Shanmugalingam, Nageswari 47 Shimomura, Tetsu 45 Hajłasz, Piotr 40 Yang, Dachun 37 Liu, Feng 34 Björn, Jana 32 Koskela, Pekka 31 Lahti, Panu 29 Ohno, Takao 28 Björn, Anders 24 Vodop’yanov, Sergeĭ Konstantinovich 24 Yuan, Wen 21 Ukhlov, Alexander Dadar-Oolovich 20 Kinnunen, Juha 19 Mizuta, Yoshihiro 18 Górka, Przemysław 18 Lehrbäck, Juha 17 Tuominen, Heli 16 Onninen, Jani 15 Ambrosio, Luigi 15 Cianchi, Andrea 15 Korte, Riikka 14 Byun, Sun-Sig 14 Maz’ya, Vladimir Gilelevich 13 Jiang, Renjin 13 Malý, Jan 13 Schikorra, Armin 13 Wang, Lihe 12 Eriksson-Bique, Sylvester 12 Honda, Shouhei 12 Pinamonti, Andrea 12 Sevost’yanov, Yevgen Oleksandrovych 12 Vähäkangas, Antti V. 11 Azagra, Daniel 11 Gol’dshtein, Vladimir Mikhailovich 11 Rajala, Tapio 11 Xue, Qingying 10 Karak, Nijjwal 10 Zürcher, Thomas 9 Goldstein, Paweł 9 Heikkinen, Toni 9 Marola, Niko 9 Morbidelli, Daniele 9 Nguyen Cong Phuc 9 Pankka, Pekka 9 Passarelli di Napoli, Antonia 9 Romanov, Aleksandr Sergeevich 9 Speight, Gareth 9 Tyson, Jeremy T. 9 Van Schaftingen, Jean 9 Wang, Zhuang 9 Zhang, Xiao 8 Balogh, Zoltán M. 8 Carneiro, Emanuel 8 Chen, Hua 8 Citti, Giovanna 8 Di Fazio, Giuseppe 8 García-Bravo, Miguel 8 Gigli, Nicola 8 Harjulehto, Petteri 8 Hurri-Syrjānen, Ritva 8 Iwaniec, Tadeusz 8 Krotov, Veniamin Grigor’evich 8 Martín, Joaquim 8 Milman, Mario Marcos 8 Pasqualetto, Enrico 8 Pérez, Carlos 8 Soultanis, Elefterios 8 Zhou, Yuan 7 Adamowicz, Tomasz 7 Futamura, Toshihide 7 Giannetti, Flavia 7 Heinonen, Juha 7 Lanconelli, Ermanno 7 Madrid, José A. Jiménez 7 Meskhi, Alexander 7 Zhu, Zheng 7 Zimmerman, Scott 6 Alvarado, Ryan 6 Anza Hafsa, Omar 6 Auscher, Pascal 6 Badr, Nadine 6 Capogna, Luca 6 Chua, Seng-Kee 6 Evseev, Nikita Aleksandrovich 6 Fanciullo, Maria Stella 6 Fässler, Katrin S. 6 Guo, Changyu 6 Hencl, Stanislav 6 Kangasniemi, Ilmari 6 Kauranen, Aapo 6 Latvala, Visa 6 Magnani, Valentino 6 Mandallena, Jean-Philippe 6 Miranda, Michele jun. 6 Ponce, Augusto C. 6 Strzelecki, Paweł 6 Tyulenev, Alexander I. 6 Uguzzoni, Francesco 6 Wenger, Stefan ...and 1,191 more Authors all top 5 Cited in 252 Serials 77 Journal of Functional Analysis 73 Journal of Mathematical Analysis and Applications 56 Calculus of Variations and Partial Differential Equations 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Proceedings of the American Mathematical Society 50 The Journal of Geometric Analysis 41 Potential Analysis 37 Journal of Differential Equations 34 Transactions of the American Mathematical Society 33 Advances in Mathematics 33 Siberian Mathematical Journal 31 Mathematische Zeitschrift 28 Mathematische Annalen 24 Revista Matemática Iberoamericana 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Archive for Rational Mechanics and Analysis 22 Manuscripta Mathematica 22 Analysis and Geometry in Metric Spaces 19 Journal d’Analyse Mathématique 19 Annales Fennici Mathematici 18 Annales Academiae Scientiarum Fennicae. Mathematica 17 Mathematische Nachrichten 16 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Advances in Calculus of Variations 14 Journal of Mathematical Sciences (New York) 12 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 11 Results in Mathematics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Czechoslovak Mathematical Journal 10 Geometric and Functional Analysis. GAFA 10 Mathematical Inequalities & Applications 10 Revista Matemática Complutense 9 Mathematical Notes 9 Indiana University Mathematics Journal 9 Journal of the London Mathematical Society. Second Series 9 Bulletin des Sciences Mathématiques 9 Acta Mathematica Sinica. English Series 9 Mediterranean Journal of Mathematics 8 Studia Mathematica 8 Zeitschrift für Analysis und ihre Anwendungen 8 SIAM Journal on Mathematical Analysis 8 St. Petersburg Mathematical Journal 8 Communications in Contemporary Mathematics 8 Complex Variables and Elliptic Equations 8 Science China. Mathematics 8 Journal of Function Spaces 7 Arkiv för Matematik 7 Archiv der Mathematik 7 Duke Mathematical Journal 7 Journal für die Reine und Angewandte Mathematik 7 Journal of Fixed Point Theory and Applications 6 Acta Mathematica 6 Annales de l’Institut Fourier 6 Inventiones Mathematicae 6 Tôhoku Mathematical Journal. Second Series 6 Journal of Convex Analysis 6 Doklady Mathematics 6 Conformal Geometry and Dynamics 6 Communications on Pure and Applied Analysis 6 Proceedings of the Steklov Institute of Mathematics 6 Analysis & PDE 6 Advances in Nonlinear Analysis 5 Communications on Pure and Applied Mathematics 5 Israel Journal of Mathematics 5 Geometriae Dedicata 5 Journal of the Mathematical Society of Japan 5 Michigan Mathematical Journal 5 SIAM Journal on Control and Optimization 5 Forum Mathematicum 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 The Journal of Fourier Analysis and Applications 5 Journal of Inequalities and Applications 5 Annals of Mathematics. Second Series 5 Journal of Evolution Equations 5 Sibirskie Èlektronnye Matematicheskie Izvestiya 5 Banach Journal of Mathematical Analysis 5 Analysis and Mathematical Physics 5 Transactions of A. Razmadze Mathematical Institute 4 Bulletin of the London Mathematical Society 4 Canadian Mathematical Bulletin 4 Illinois Journal of Mathematics 4 Integral Equations and Operator Theory 4 Journal of Approximation Theory 4 Monatshefte für Mathematik 4 Ricerche di Matematica 4 Expositiones Mathematicae 4 NoDEA. Nonlinear Differential Equations and Applications 4 Sbornik: Mathematics 4 Positivity 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Boundary Value Problems 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Annals of Functional Analysis 4 Complex Analysis and its Synergies 3 Rocky Mountain Journal of Mathematics 3 Annales Polonici Mathematici 3 Collectanea Mathematica ...and 152 more Serials all top 5 Cited in 48 Fields 703 Functional analysis (46-XX) 421 Partial differential equations (35-XX) 312 Functions of a complex variable (30-XX) 271 Harmonic analysis on Euclidean spaces (42-XX) 259 Real functions (26-XX) 214 Differential geometry (53-XX) 196 Potential theory (31-XX) 164 Calculus of variations and optimal control; optimization (49-XX) 156 Global analysis, analysis on manifolds (58-XX) 144 Measure and integration (28-XX) 83 Operator theory (47-XX) 51 Abstract harmonic analysis (43-XX) 40 Topological groups, Lie groups (22-XX) 34 General topology (54-XX) 34 Probability theory and stochastic processes (60-XX) 29 Mechanics of deformable solids (74-XX) 22 Manifolds and cell complexes (57-XX) 20 Approximations and expansions (41-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Geometry (51-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Numerical analysis (65-XX) 16 Difference and functional equations (39-XX) 15 Convex and discrete geometry (52-XX) 11 Algebraic topology (55-XX) 9 Combinatorics (05-XX) 7 Fluid mechanics (76-XX) 6 Group theory and generalizations (20-XX) 6 Computer science (68-XX) 5 Quantum theory (81-XX) 4 Integral equations (45-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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