H-convex distributions in stratified groups

DOI10.1090/S0002-9939-2013-11653-9zbMath1302.46027OpenAlexW2074368916MaRDI QIDQ2845438

Andrea Bonfiglioli, Ermanno Lanconelli, Valentino Magnani, Matteo Scienza

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11653-9

zbMATH Keywords

distributionconvexitynilpotent Lie groupstratified group

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Nilpotent and solvable Lie groups (22E25) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

On Minty's theorem in the Heisenberg group

Cites Work

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• Lipschitz continuity, Aleksandrov theorem and characterizations for \(H\)-convex functions
• Convex functions on Carnot groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Convex functions on the Heisenberg group
• Subharmonic functions on Carnot groups
• Notion of convexity in Carnot groups
• First-order regularity of convex functions on Carnot groups
• Hypoelliptic second order differential equations
• TOWARDS DIFFERENTIAL CALCULUS IN STRATIFIED GROUPS
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• On second derivates of convex functions.
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Characterizations of differentiability for h-convex functions in stratified groups

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