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Magnani, Valentino

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Author ID: magnani.valentino Recent zbMATH articles by "Magnani, Valentino"
Published as: Magnani, V.; Magnani, Valentino
External Links: MGP · Wikidata
Documents Indexed: 45 Publications since 2001, including 1 Book

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 294 times in 150 Documents Cited by Year
Characteristic points, rectifiability and perimeter measure on stratified groups. Zbl 1107.22004
Magnani, Valentino
34
2006
Towards differential calculus in stratified groups. Zbl 1279.22011
Magnani, Valentino
24
2013
Differentiability and area formula on stratified Lie groups. Zbl 0983.22009
Magnani, Valentino
22
2001
Lipschitz continuity, Aleksandrov theorem and characterizations for \(H\)-convex functions. Zbl 1115.49004
Magnani, Valentino
19
2006
Weak differentiability of BV functions on stratified groups. Zbl 1048.49030
Ambrosio, Luigi; Magnani, Valentino
17
2003
An intrinsic measure for submanifolds in stratified groups. Zbl 1146.53022
Magnani, Valentino; Vittone, Davide
16
2008
Elements of geometric measure theory on sub-Riemannian groups. Zbl 1064.28007
Magnani, Valentino
16
2002
Unrectifiability and rigidity in stratified groups. Zbl 1062.22019
Magnani, Valentino
13
2004
A blow-up theorem for regular hypersurfaces on nilpotent groups. Zbl 1010.22010
Magnani, Valentino
13
2003
Non-horizontal submanifolds and coarea formula. Zbl 1158.22006
Magnani, Valentino
11
2008
The coarea formula for real-valued Lipschitz maps on stratified groups. Zbl 1079.49030
Magnani, Valentino
11
2005
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
8
2015
Blow-up estimates at horizontal points and applications. Zbl 1194.28004
Magnani, Valentino
8
2010
Blow-up of regular submanifolds in Heisenberg groups and applications. Zbl 1097.53020
Magnani, Valentino
8
2006
Removable sets for Lipschitz harmonic functions on Carnot groups. Zbl 1320.28004
Chousionis, Vasilis; Magnani, Valentino; Tyson, Jeremy T.
7
2015
A new differentiation, shape of the unit ball and perimeter measure. Zbl 1369.28006
Magnani, Valentino
6
2017
Measure of submanifolds in the Engel group. Zbl 1198.58007
Le Donne, Enrico; Magnani, Valentino
6
2010
On a measure-theoretic area formula. Zbl 1327.28004
Magnani, Valentino
5
2015
Contact equations, Lipschitz extensions and isoperimetric inequalities. Zbl 1195.49053
Magnani, Valentino
5
2010
On a general coarea inequality and applications. Zbl 1064.49034
Magnani, Valentino
5
2002
On transversal submanifolds and their measure. Zbl 1331.53056
Magnani, Valentino; Tyson, Jeremy; Vittone, Davide
4
2015
Radon-Nikodym property and area formula for Banach homogeneous group targets. Zbl 1309.22010
Magnani, Valentino; Rajala, Tapio
4
2014
Note on coarea formulae in the Heisenberg group. Zbl 1062.22020
Magnani, Valentino
4
2004
A low rank property and nonexistence of higher-dimensional horizontal Sobolev sets. Zbl 1342.46036
Magnani, Valentino; Malý, Jan; Mongodi, Samuele
3
2015
An area formula in metric spaces. Zbl 1231.28007
Magnani, Valentino
3
2011
Spherical Hausdorff measure of submanifolds in Heisenberg groups. Zbl 1139.22300
Magnani, Valentino
3
2005
A counterexample to metric differentiability. Zbl 1059.26007
Kirchheim, Bernd; Magnani, Valentino
3
2003
Characterizations of differentiability for \(h\)-convex functions in stratified groups. Zbl 1315.32005
Magnani, Valentino; Scienza, Matteo
2
2014
Measure of curves in graded groups. Zbl 1283.28004
Korte, Riikka; Magnani, Valentino
2
2012
Intersections of intrinsic submanifolds in the Heisenberg group. Zbl 1220.53074
Leonardi, Gian Paolo; Magnani, Valentino
2
2011
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups. Zbl 1442.58007
Magnani, Valentino; Pinamonti, Andrea; Speight, Gareth
1
2020
The Gauss-Green theorem in stratified groups. Zbl 07146124
Comi, Giovanni E.; Magnani, Valentino
1
2020
Towards a theory of area in homogeneous groups. Zbl 1423.22011
Magnani, Valentino
1
2019
A rough calculus approach to level sets in the Heisenberg group. Zbl 1393.53026
Magnani, Valentino; Stepanov, Eugene; Trevisan, Dario
1
2018
A Gromov’s dimension comparison estimate for rectifiable sets. Zbl 1361.53031
Magnani, Valentino; Zapadinskaya, Aleksandra
1
2017
Regularity estimates for convex functions in Carnot-Carathéodory spaces. Zbl 1364.26018
Magnani, Valentino; Scienza, Matteo
1
2016
\(H\)-convex distributions in stratified groups. Zbl 1302.46027
Bonfiglioli, A.; Lanconelli, E.; Magnani, V.; Scienza, M.
1
2013
Area implies coarea. Zbl 1276.28013
Magnani, Valentino
1
2011
Nonexistence of horizontal Sobolev surfaces in the Heisenberg group. Zbl 1204.53026
Magnani, Valentino
1
2010
Differentiability from the representation formula and the Sobolev–Poincaré inequality. Zbl 1097.26013
Magnani, Valentino
1
2005
Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups. Zbl 1442.58007
Magnani, Valentino; Pinamonti, Andrea; Speight, Gareth
1
2020
The Gauss-Green theorem in stratified groups. Zbl 07146124
Comi, Giovanni E.; Magnani, Valentino
1
2020
Towards a theory of area in homogeneous groups. Zbl 1423.22011
Magnani, Valentino
1
2019
A rough calculus approach to level sets in the Heisenberg group. Zbl 1393.53026
Magnani, Valentino; Stepanov, Eugene; Trevisan, Dario
1
2018
A new differentiation, shape of the unit ball and perimeter measure. Zbl 1369.28006
Magnani, Valentino
6
2017
A Gromov’s dimension comparison estimate for rectifiable sets. Zbl 1361.53031
Magnani, Valentino; Zapadinskaya, Aleksandra
1
2017
Regularity estimates for convex functions in Carnot-Carathéodory spaces. Zbl 1364.26018
Magnani, Valentino; Scienza, Matteo
1
2016
BV functions and sets of finite perimeter in sub-Riemannian manifolds. Zbl 1320.53034
Ambrosio, L.; Ghezzi, R.; Magnani, V.
8
2015
Removable sets for Lipschitz harmonic functions on Carnot groups. Zbl 1320.28004
Chousionis, Vasilis; Magnani, Valentino; Tyson, Jeremy T.
7
2015
On a measure-theoretic area formula. Zbl 1327.28004
Magnani, Valentino
5
2015
On transversal submanifolds and their measure. Zbl 1331.53056
Magnani, Valentino; Tyson, Jeremy; Vittone, Davide
4
2015
A low rank property and nonexistence of higher-dimensional horizontal Sobolev sets. Zbl 1342.46036
Magnani, Valentino; Malý, Jan; Mongodi, Samuele
3
2015
Radon-Nikodym property and area formula for Banach homogeneous group targets. Zbl 1309.22010
Magnani, Valentino; Rajala, Tapio
4
2014
Characterizations of differentiability for \(h\)-convex functions in stratified groups. Zbl 1315.32005
Magnani, Valentino; Scienza, Matteo
2
2014
Towards differential calculus in stratified groups. Zbl 1279.22011
Magnani, Valentino
24
2013
\(H\)-convex distributions in stratified groups. Zbl 1302.46027
Bonfiglioli, A.; Lanconelli, E.; Magnani, V.; Scienza, M.
1
2013
Measure of curves in graded groups. Zbl 1283.28004
Korte, Riikka; Magnani, Valentino
2
2012
An area formula in metric spaces. Zbl 1231.28007
Magnani, Valentino
3
2011
Intersections of intrinsic submanifolds in the Heisenberg group. Zbl 1220.53074
Leonardi, Gian Paolo; Magnani, Valentino
2
2011
Area implies coarea. Zbl 1276.28013
Magnani, Valentino
1
2011
Blow-up estimates at horizontal points and applications. Zbl 1194.28004
Magnani, Valentino
8
2010
Measure of submanifolds in the Engel group. Zbl 1198.58007
Le Donne, Enrico; Magnani, Valentino
6
2010
Contact equations, Lipschitz extensions and isoperimetric inequalities. Zbl 1195.49053
Magnani, Valentino
5
2010
Nonexistence of horizontal Sobolev surfaces in the Heisenberg group. Zbl 1204.53026
Magnani, Valentino
1
2010
An intrinsic measure for submanifolds in stratified groups. Zbl 1146.53022
Magnani, Valentino; Vittone, Davide
16
2008
Non-horizontal submanifolds and coarea formula. Zbl 1158.22006
Magnani, Valentino
11
2008
Characteristic points, rectifiability and perimeter measure on stratified groups. Zbl 1107.22004
Magnani, Valentino
34
2006
Lipschitz continuity, Aleksandrov theorem and characterizations for \(H\)-convex functions. Zbl 1115.49004
Magnani, Valentino
19
2006
Blow-up of regular submanifolds in Heisenberg groups and applications. Zbl 1097.53020
Magnani, Valentino
8
2006
The coarea formula for real-valued Lipschitz maps on stratified groups. Zbl 1079.49030
Magnani, Valentino
11
2005
Spherical Hausdorff measure of submanifolds in Heisenberg groups. Zbl 1139.22300
Magnani, Valentino
3
2005
Differentiability from the representation formula and the Sobolev–Poincaré inequality. Zbl 1097.26013
Magnani, Valentino
1
2005
Unrectifiability and rigidity in stratified groups. Zbl 1062.22019
Magnani, Valentino
13
2004
Note on coarea formulae in the Heisenberg group. Zbl 1062.22020
Magnani, Valentino
4
2004
Weak differentiability of BV functions on stratified groups. Zbl 1048.49030
Ambrosio, Luigi; Magnani, Valentino
17
2003
A blow-up theorem for regular hypersurfaces on nilpotent groups. Zbl 1010.22010
Magnani, Valentino
13
2003
A counterexample to metric differentiability. Zbl 1059.26007
Kirchheim, Bernd; Magnani, Valentino
3
2003
Elements of geometric measure theory on sub-Riemannian groups. Zbl 1064.28007
Magnani, Valentino
16
2002
On a general coarea inequality and applications. Zbl 1064.49034
Magnani, Valentino
5
2002
Differentiability and area formula on stratified Lie groups. Zbl 0983.22009
Magnani, Valentino
22
2001
all top 5

Cited by 160 Authors

23 Magnani, Valentino
10 Franchi, Bruno
10 Tyson, Jeremy T.
9 Balogh, Zoltán M.
9 Serra Cassano, Francesco
8 Pinamonti, Andrea
8 Serapioni, Raul Paolo
7 Speight, Gareth
6 Garofalo, Nicola
6 Le Donne, Enrico
6 Vittone, Davide
5 Ambrosio, Luigi
5 Fässler, Katrin S.
5 Montefalcone, Francescopaolo
4 Bonfiglioli, Andrea
4 Capogna, Luca
4 Chousionis, Vasilis
4 Citti, Giovanna
3 Calogero, Andrea
3 Danielli, Donatella
3 Ferrari, Fausto
3 Hajłasz, Piotr
3 Korte, Riikka
3 Manfredini, Maria
3 Nhieu, Duy-Minh
3 Vecchi, Eugenio
3 Yang, Xiaoping
2 Arena, Gabriella
2 Barilari, Davide
2 Chousionis, Vasileios
2 Dinh, Si Tiep
2 Don, Sebastiano
2 Dragoni, Federica
2 Jung, Derek
2 Kleiner, Bruce
2 Kurdyka, Krzysztof
2 Lanconelli, Ermanno
2 Li, Sean
2 Lu, Guozhen
2 Lukyanenko, Anton
2 Malý, Jan
2 Marchi, Marco
2 Marola, Niko
2 Monti, Roberto
2 Pansu, Pierre
2 Pini, Rita
2 Rickly, Matthieu
2 Rigot, Séverine
2 Shanmugalingam, Nageswari
2 Sigalotti, Mario
2 Tan, Kanghai
2 Vodop’yanov, Sergeĭ Konstantinovich
2 Young, Robert
1 Agrachev, Andreĭ Aleksandrovich
1 Antonelli, Gioacchino
1 Arcozzi, Nicola
1 Bardi, Martino
1 Barone Adesi, Vittorio
1 Basalaev, S. G.
1 Boscain, Ugo
1 Brakalova, Melkana Aleksandrova
1 Brendle, Simon
1 Bruè, Elia
1 Carcano, Giovanna
1 Caruso, Andrea Orazio
1 Chang, Tongkeun
1 Cheeger, Jeff
1 Chitour, Yacine
1 Cinti, Eleonora
1 Comi, Giovanni E.
1 Cowling, Michael G.
1 Cui, Xiaoyue
1 D’Ambrosio, Lorenzo
1 De Lellis, Camillo
1 Dejarnette, Noel
1 Delladio, Silvano
1 Di Donato, Daniela
1 Diniz, Marcos M.
1 Dong, Xinhan
1 Durand-Cartagena, Estibalitz
1 Dymchenko, Yuriĭ Viktorovich
1 Filali, Doaa
1 Garrido, M. Isabel
1 Giovannardi, Gianmarco
1 González, María del Mar
1 Górny, Wojciech
1 Granieri, Luca
1 Gruber, Moritz
1 Guo, Changyu
1 Gutiérrez, Cristian E.
1 Gutú, Olivia
1 Hakkarainen, Heikki
1 He, Guoqing
1 Heida, Martin
1 Jaramillo, Jesús Angel
1 Jean, Frédéric
1 Jerrard, Robert Leon
1 Juillet, Nicolas
1 Juutinen, Petri
1 Karmanova, M. V.
...and 60 more Authors
all top 5

Cited in 58 Serials

14 The Journal of Geometric Analysis
11 Calculus of Variations and Partial Differential Equations
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Analysis and Geometry in Metric Spaces
7 Advances in Mathematics
6 Mathematische Zeitschrift
6 Proceedings of the American Mathematical Society
5 Journal of Functional Analysis
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal d’Analyse Mathématique
3 Journal of Mathematical Analysis and Applications
3 Annales de l’Institut Fourier
3 Transactions of the American Mathematical Society
3 Revista Matemática Iberoamericana
3 Conformal Geometry and Dynamics
3 Communications in Contemporary Mathematics
2 Archiv der Mathematik
2 Illinois Journal of Mathematics
2 Mathematische Annalen
2 Geometric and Functional Analysis. GAFA
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Journal of Dynamical and Control Systems
2 Analysis & PDE
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Arkiv för Matematik
1 Bulletin of the London Mathematical Society
1 Geometriae Dedicata
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Osaka Journal of Mathematics
1 Siberian Mathematical Journal
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Optimization
1 Science in China. Series A
1 Differential Geometry and its Applications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Journal of Convex Analysis
1 Selecta Mathematica. New Series
1 Doklady Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of Evolution Equations
1 Journal of the Australian Mathematical Society
1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 Oberwolfach Reports
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Groups, Geometry, and Dynamics
1 Bulletin of Mathematical Sciences

Citations by Year

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