an:06142945
Zbl 1270.31002
Bonfiglioli, Andrea; Lanconelli, Ermanno
Subharmonic functions in sub-Riemannian settings
EN
J. Eur. Math. Soc. (JEMS) 15, No. 2, 387-441 (2013).
00315350
2013
j
31C05 35H20 35J70
subharmonic functions; Carnot groups
The authors give the mean value as well as the asymptotic characterization for \(\mathcal L\)-subharmonic functions, where \(\mathcal L\) is a second order differential operator with non-negative characteristic form and well-behaved fundamental solution. An example of \(\mathcal L\) can be the sub-Laplacian on Carnot groups. The authors also show how to approximate a subharmonic (in the sense of distributions) function by a smooth one.
Roman Urban (Wroc??aw)