By Dr Alessandro Ottazzi

Journal articles

Ottazzi A; Santagati F, 2024, 'Carleson Measures on Locally Finite Trees', Journal of Geometric Analysis, 34, http://dx.doi.org/10.1007/s12220-024-01823-2

Cowling MG; Kivioja V; Le Donne E; Nicolussi Golo S; Ottazzi A, 2024, 'From homogeneous metric spaces to Lie groups', Comptes Rendus. Mathématique, 362, pp. 943 - 1014, http://dx.doi.org/10.5802/crmath.608

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2024, 'CR EMBEDDINGS OF NILPOTENT LIE GROUPS', Proceedings of the American Mathematical Society, 152, pp. 3413 - 3422, http://dx.doi.org/10.1090/proc/16818

Golo SN; Ottazzi A, 2024, 'Left-invariant distributions diffeomorphic to flat distributions', Geometriae Dedicata, 218, http://dx.doi.org/10.1007/s10711-024-00905-3

Ottazzi A; Santagati F; Vallarino M, 2024, 'Ap weights on nonhomogeneous trees equipped with measures of exponential growth', Revista Matematica Complutense, http://dx.doi.org/10.1007/s13163-024-00501-9

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2023, 'CR embeddings of CR manifolds', Annali di Matematica Pura ed Applicata, 202, pp. 287 - 291, http://dx.doi.org/10.1007/s10231-022-01241-7

Cowling MG; Li J; Ottazzi A; Wu Q, 2020, 'CONFORMAL AND CR MAPPINGS ON CARNOT GROUPS', Proceedings of the American Mathematical Society, Series B, 7, pp. 67 - 81, http://dx.doi.org/10.1090/bproc/48

Ottazzi A; Vittone D, 2019, 'On the codimension of the abnormal set in step two Carnot groups', ESAIM - Control, Optimisation and Calculus of Variations, 25, http://dx.doi.org/10.1051/cocv/2018002

Nicolussi S; Ottazzi A, 2018, 'Polarised Lie groups contactomorphic to stratified groups', , http://arxiv.org/abs/1807.03854v2

Ottazzi A; Schmalz G, 2017, 'Normal forms of para-CR hypersurfaces', Differential Geometry and its Application, 52, pp. 78 - 93, http://dx.doi.org/10.1016/j.difgeo.2017.03.018

Martini A; Ottazzi A; Vallarino M, 2017, 'A multiplier theorem for sub-Laplacians with drift on Lie groups', ArXiv, https://arxiv.org/abs/1705.04752

Capogna L; Citti G; Donne EL; Ottazzi A, 2017, 'Conformality and $Q$-harmonicity in sub-Riemannian manifolds', ArXiv, https://arxiv.org/abs/1603.05548

Ottazzi A; Warhurst B, 2017, 'A liouville type theorem for carnot groups: A case study', Springer INdAM Series, 3, pp. 371 - 380, http://dx.doi.org/10.1007/978-88-470-2853-1_13

Cowling MG; Ottazzi A, 2017, 'Structure of stratified groups I. Product decompositions', Journal of Lie Theory, 27, pp. 177 - 183

Ottazzi A; Schmalz G, 2016, 'Singular multicontact structures', Journal of Mathematical Analysis and Applications, 443, pp. 1220 - 1231, http://dx.doi.org/10.1016/j.jmaa.2016.06.002

Le Donne E; Montgomery R; Ottazzi A; Pansu P; Vittone D, 2016, 'Sard property for the endpoint map on some Carnot groups', Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 33, pp. 1639 - 1666, http://dx.doi.org/10.1016/j.anihpc.2015.07.004

Le Donne E; Ottazzi A, 2016, 'Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds', Journal of Geometric Analysis, 26, pp. 330 - 345, http://dx.doi.org/10.1007/s12220-014-9552-8

Martini A; Ottazzi A; Vallarino M, 2015, 'Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups', ArXiv, https://arxiv.org/abs/1504.03862

Cowling MG; Ottazzi A, 2015, 'Conformal maps of carnot groups', Annales Academiae Scientiarum Fennicae Mathematica, 40, pp. 203 - 213, http://dx.doi.org/10.5186/aasfm.2015.4008

Cowling MG; Ottazzi A, 2015, 'Global contact and quasiconformal mappings of carnot groups', Conformal Geometry and Dynamics, 19, pp. 221 - 239, http://dx.doi.org/10.1090/ecgd/282

Le Donne E; Ottazzi A, 2014, 'Isometries of Carnot Groups and Sub-Finsler Homogeneous Manifolds', Journal of Geometric Analysis, http://dx.doi.org/10.1007/s12220-014-9552-8

Ottazzi A; Vallarino M, 2014, 'Spectral multipliers for Laplacians with drift on Damek-Ricci spaces', Mathematische Nachrichten, 287, pp. 1837 - 1847, http://dx.doi.org/10.1002/mana.201300268

Le Donne E; Ottazzi A; Warhurst B, 2014, 'Ultrarigid tangents of sub-Riemannian nilpotent groups', Annales de l'Institut Fourier, 64, pp. 2265 - 2282, http://dx.doi.org/10.5802/aif.2912

Ottazzi A, 2012, 'Classes of nonrigid Carnot groups', Bulletin of the Malaysian Mathematical Sciences Society, 35, pp. 567 - 571

Ottazzi A; Warhurst B, 2011, 'Contact and 1-Quasiconformal maps on carnot groups', Journal of Lie Theory, 21, pp. 787 - 811

Ottazzi A; Warhurst BT, 2011, 'Algebraic prolongation and rigidity of Carnot groups', Monatshefte fur Mathematik, 162, pp. 179 - 195, http://dx.doi.org/10.1007/s00605-009-0170-7

Ottazzi A; Warhurst B, 2010, 'Rigidity of iwasawa nilpotent lie groups via tanaka's theory', Note di Matematica, 30, pp. 141 - 146, http://dx.doi.org/10.1285/i15900932v30n1p141

De Mari F; Ottazzi A, 2010, 'Rigidity of carnot groups relative to multicontact structures', Proceedings of the American Mathematical Society, 138, pp. 1889 - 1895, http://dx.doi.org/10.1090/S0002-9939-10-10212-3

Ottazzi A; Warhurst B, 2010, 'A Liouville type theorem for Carnot groups', ArXiv, https://archive.org/stream/arxiv-1001.1087/1001.1087?ui=embed#page/n0/mode/2up

Ottazzi A, 2010, 'Multicontact mappings on Hessenberg manifolds', ArXiv, https://arxiv.org/abs/1001.1083

Alessandro O, 2010, 'Polynomial bases of split simple Lie algebras', Publicationes Mathematicae Debrecen, 76, pp. 157 - 171, http://dx.doi.org/10.5486/pmd.2010.4437

Ottazzi A, 2008, 'A sufficient condition for nonrigidity of Carnot groups', Mathematische Zeitschrift, 259, pp. 617 - 629, http://dx.doi.org/10.1007/s00209-007-0240-2

Ottazzi A, 2005, 'Multicontact vector fields on Hessenberg manifolds', Journal of Lie Theory, 15, pp. 357 - 377

Conference Papers

Ottazzi A, 2009, 'Classes of Nonrigid Carnot Groups', in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, MALAYSIAN MATHEMATICAL SCIENCES SOC, MALAYSIA, Kuala Lumpur, pp. 567 - 571, presented at 5th Asian Mathematical Conference (AMC), MALAYSIA, Kuala Lumpur, 22 June 2009 - 26 June 2009, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303961500012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Working Papers

Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, http://dx.doi.org, http://arxiv.org/abs/2102.07371v3

Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, http://dx.doi.org

Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, http://dx.doi.org10.26190/unsworks/27977, https://www.researchgate.net/publication/317218306_From_homogeneous_metric_spaces_to_Lie_groups

Preprints

Ottazzi A; Santagati F, 2024, Carleson measures on locally finite trees, http://arxiv.org/abs/2405.08358v1

Ottazzi A; Santagati F; Vallarino M, 2023, $A_p$ weights on nonhomogeneous trees equipped with measures of exponential growth, http://arxiv.org/abs/2312.11455v1

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of nilpotent Lie groups, http://arxiv.org/abs/2210.07515v2

Cowling MG; Ganji M; Ottazzi A; Schmalz G, 2022, CR embeddings of CR manifolds, http://arxiv.org/abs/2204.01174v1

Chen P; Cowling MG; Lee M-Y; Li J; Ottazzi A, 2021, Flag Hardy space theory on Heisenberg groups and applications, http://dx.doi.org/10.48550/arxiv.2102.07371

Nicolussi S; Ottazzi A, 2018, Polarised Lie groups contactomorphic to stratified groups, http://dx.doi.org/10.48550/arxiv.1807.03854

Cowling MG; Li J; Ottazzi A; Wu Q, 2018, Conformal and CR mappings on Carnot groups, http://dx.doi.org/10.48550/arxiv.1807.00994

Ottazzi A; Vittone D, 2017, On the codimension of the abnormal set in step two Carnot groups, http://dx.doi.org/10.48550/arxiv.1709.02854

Cowling MG; Kivioja V; Donne EL; Golo SN; Ottazzi A, 2017, From homogeneous metric spaces to Lie groups, http://dx.doi.org/10.48550/arxiv.1705.09648

Martini A; Ottazzi A; Vallarino M, 2017, A multiplier theorem for sub-Laplacians with drift on Lie groups, http://dx.doi.org/10.48550/arxiv.1705.04752

Ottazzi A; Schmalz G, 2016, Normal forms of para-CR hypersurfaces, http://dx.doi.org/10.48550/arxiv.1611.07576

Capogna L; Citti G; Donne EL; Ottazzi A, 2016, Conformality and $Q$-harmonicity in sub-Riemannian manifolds, http://dx.doi.org/10.48550/arxiv.1603.05548

Martini A; Ottazzi A; Vallarino M, 2015, Spectral multipliers for sub-Laplacians on solvable extensions of stratified groups, http://dx.doi.org/10.48550/arxiv.1504.03862

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