Andrea Bonfiglioli & Ermanno Lanconelli 
Stratified Lie Groups and Potential Theory for Their Sub-Laplacians [PDF ebook] 

Elements of Analysis of Stratified Groups.- Stratified Groups and Sub-Laplacians.- Abstract Lie Groups and Carnot Groups.- Carnot Groups of Step Two.- Examples of Carnot Groups.- The Fundamental Solution for a Sub-Laplacian and Applications.- Elements of Potential Theory for Sub-Laplacians.- Abstract Harmonic Spaces.- The ?-harmonic Space.- ?-subharmonic Functions.- Representation Theorems.- Maximum Principle on Unbounded Domains.- ?-capacity, ?-polar Sets and Applications.- ?-thinness and ?-fine Topology.- d-Hausdorff Measure and ?-capacity.- Further Topics on Carnot Groups.- Some Remarks on Free Lie Algebras.- More on the Campbell–Hausdorff Formula.- Families of Diffeomorphic Sub-Laplacians.- Lifting of Carnot Groups.- Groups of Heisenberg Type.- The Carathéodory–Chow–Rashevsky Theorem.- Taylor Formula on Homogeneous Carnot Groups.

1) ERMANNO LANCONELLI:
–Education and Undergraduate Studies: Dec. 1966, Universita’ di Bologna (Mathematics).
Career/Employment:
1975-present: Full Professor of Mathematical Analysis at Dipartimento di Matematica, Universita’ di Bologna (Italy); Member of the ‘Accademia dell’Istituto di Bologna’ and of the ‘Accademia delle Scienze, Lettere ed Arti di Modena’.
1968-1975: Theaching Assistant at Istituto di Matematica, Universita’ di Bologna.
–Academic activity:
Director of the Istituto di Matematica di Bologna(1978/80),
Director of the Undergraduate Mathematics Program, University of Bologna (1990/1999, 2000-2002, 2006-present)
Director of PHD program, University of Bologna (1986/91, 1997/2000)
–INVITATIONS:
-University of Minnesota, Minneapolis (USA)
-University of Purdue, West La Fayette, Indiana (USA)
-Temple University, Philadelphia, Pennsylvania (USA)
-Rutgers University, New Brunswick, New Jersey (USA)
-University of Bern, Switzerland
— Specialization main fields: Partial Differential Equations, Potential
Theory
–CURRENT RESEARCH INTEREST:
Second order linear and nonlinear partial differential equations with non- negative characteristic form and application to complex geometry and diffusion processes.
Potential Theory and Harmonic Analysis in sub-riemannian settings.
Real analysis and geometric methods.
–EDITORIAL BOARD: Nonlinear Differential Equations and Applications, Birkhauser.
–PUBLICATIONS: More than 70 papers in refereed journals.

2) UGUZZONI FRANCESCO:
–Education and Undergraduate Studies: Dec. 1994, Universita’ di Bologna (Mathematics)
Career/Employment:
February 2000: Ph.D. in Mathematical Analysis at Dipartimento di Matematica, Universita’ di Bologna (Italy).
October 1998: Assistant Professor at Dipartimento di Matematica, Universita’ di Bologna.
–CURRENT RESEARCH INTEREST:
Second order linear and nonlinear partial differential equations with non- negative characteristic form and applications. Harmonic Analysis in sub- riemannian settings.
–PUBLICATIONS: About 30 papers in refereed journals.

3) ANDREA BONFIGLIOLI:
–Education and Undergraduate Studies: July 1998, Universita’ di Bologna (Mathematics)
–Career/Employment:
March 2002: Ph.D. in Mathematical Analysis at Dipartimento di Matematica, Universita’ di Bologna (Italy).
November 2006: Assistant Professor at Dipartimento di Matematica, Universita’ di Bologna.
–CURRENT RESEARCH INTEREST:
Second order linear partial differential equations with non-negative characteristic form and applications. Potential Theory in stratified Lie groups.
–PUBLICATIONS: About 20 papers in refereed journals.