H-convex distributions in stratified groups
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- by A. Bonfiglioli, E. Lanconelli, V. Magnani and M. Scienza PDF
- Proc. Amer. Math. Soc. 141 (2013), 3633-3638 Request permission
Abstract:
We extend Dudley’s characterization of convex functions to the framework of h-convex distributions on stratified groups. Precisely, we prove that every distribution with nonnegative horizontal Hessian is defined by an h-convex function.References
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Additional Information
- A. Bonfiglioli
- Affiliation: Dipartimento Matematica, Università degli Studi di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy
- Email: bonfigli@dm.unibo.it
- E. Lanconelli
- Affiliation: Dipartimento Matematica, Università degli Studi di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy
- Email: lanconel@dm.unibo.it
- V. Magnani
- Affiliation: Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy
- MR Author ID: 688183
- Email: magnani@dm.unipi.it
- M. Scienza
- Affiliation: Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy
- Email: scienza@mail.dm.unipi.it
- Received by editor(s): August 5, 2011
- Received by editor(s) in revised form: January 11, 2012
- Published electronically: July 15, 2013
- Additional Notes: The third author was supported by the European Project ERC AdG *GeMeThNES*.
- Communicated by: Tatiana Toro
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 3633-3638
- MSC (2010): Primary 46F10; Secondary 26A51, 22E25
- DOI: https://doi.org/10.1090/S0002-9939-2013-11653-9
- MathSciNet review: 3080185