## of potential theory in Bony [1], and some applications to infinite-dimensional sub-Laplacian J on a stratified group and use it to define complex powers of J.

to the stratified Lie groups, the homogeneous groups, the metric measure spaces, to. the necessary concepts in the theory of stratified Lie groups and fix notation. In is called the (canonical) sub-Laplacian on G. This is a left invariant.. [1] Bonfiglioli, A., E. Lanconelli, and F. Uguzzoni: Stratified Lie groups and potential.

Rellich inequalities for sub-Laplacians with drift

## Regularity of sets with constant intrinsic normal in a class of Carnot groups F. Stratified Lie Groups and Potential Theory for their Sub-Laplacians, Springer,

**Stratified Lie Groups and Potential Theory for Their Sub** ... The existence, for every sub-Laplacian, of a homogeneous fundamental solution smooth out of the origin, plays a crucial role in the book. This makes it possible

HARDY AND RELLICH INEQUALITIES WITH EXACT ... groups. These problems are important in the analysis of sub-Laplacian and p-sub- and F. Uguzzoni, ”Stratified Lie Groups and Potential Theory for their. Notions of Convexity - Lars Hörmander - Google Books Most prominent is the pseudo-convexity (plurisubh- monicity) in the theory of functions of Stratified Lie Groups and Potential Theory for Their Sub-Laplacians 1 SOME TOPICS OF GEOMETRIC MEASURE **THEORY** IN ...

23 Jun 2018 Abstract: We give a characterization of the Hölder-Zygmund spaces Stratified Lie Groups and Potential Theory for Their Sub-Laplacians.