On the second order derivatives of convex functions on the Heisenberg group

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 3, Issue 2, 2004, Pages 349-366

  Gutiérrez, Cristian E ^a   Montanari, Annamaria ^b  

^a Temple University   (United States)

^b UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10844225772     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. L. Ambrosio - V. Magnani, Weak diferentiability of BV functions on stratified groups, http://cvgmt.sns.it/papers/ambmag02/
2. Z. M. Balogh - M. Rickly, Regularity of convex functions on Heisenberg groups, http://cvgmt.sns.it/papers/balric/convex.pdf
3. D. Danielli - N. Garofalo - D. M. Nhieu, Notions of convexity in Carnot groups, Comm. Anal. Geom. 11 (2003), 263-341.
4. L. C. Evans - R. Gariepy, “Measure Theory and Fine Properties of Functions”, Studies in Advanced Mathematics, CRC Press, Boca Raton, 1992.
5. C. E. Gutiérrez - A. Montanari, Maximum and comparison principles for convex functions on the Heisenberg group, Comm. Partial Differential Equations, to appear.
6. P. Juutinen - G. Lu - J. Manfredi - B. Stroffolini., Convex functions on Carnot groups, Preprint.
7. Guozhen Lu - J. Manfredi - B. Stroffolini, Convex functions on the Heisenberg group, Calc. Var., Partial Differential Equations, to appear.
8. V. Magnani, Lipschitz continuity, Aleksandrov's Theorem and characterization of H-convex functions, http://cvgmt.sns.it/onthefly.cgi/papers/mag03a/hconvex.pdf
9. E. M. Stein, “Harmonic Analysis: Real Variable methods, Orthogonality and Oscillatory Integrals”, Vol. 43 of the Princeton Math. Series. Princeton U. Press. Princeton, NJ, 1993.
10. N. S. Trudinger - Xu-Jia Wang, Hessian measures I, Topol. Methods Nonlinear Anal. 10 (1997), 225-239.
11. C. Y. Wang, Viscosity convex functions on Carnot groups, http://arxiv.org/abs/math.AP/0309079