Properties of harmonic measures in the Dirichlet problem for nilpotent Lie groups of Heisenberg type
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Publication:4534353
DOI10.1353/ajm.2002.0010zbMath0998.22001OpenAlexW1970159847WikidataQ115238779 ScholiaQ115238779MaRDI QIDQ4534353
Luca Capogna, Nicola Garofalo, Dyu-Minh Nhieu
Publication date: 25 November 2002
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm124.2.html
Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Other generalizations (nonlinear potential theory, etc.) (31C45)
Related Items (15)
Characteristic points, rectifiability and perimeter measure on stratified groups ⋮ Dirichlet problems for linear and semilinear sub-Laplace equations on Carnot groups ⋮ Wolff-potential estimates and doubling of subelliptic \(p\)-harmonic measures ⋮ Compactness methods for \(\gamma ^{1,\alpha }\) boundary Schauder estimates in Carnot groups ⋮ Sub-elliptic boundary value problems in flag domains ⋮ Hardy spaces and quasiconformal maps in the Heisenberg group ⋮ Ahlfors type estimates for perimeter measures in Carnot-Carathéodory spaces ⋮ The higher order Riesz transform and \(BMO\) type space associated with Schrödinger operators on stratified Lie groups ⋮ Boundary behavior of \(p\)-harmonic functions in the Heisenberg group ⋮ Existence and uniqueness of variational solution to the Neumann problem for the \(p\)th sub-Laplacian associated to a system of Hörmander vector fields ⋮ Horizontal submanifolds of groups of Heisenberg type ⋮ Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces ⋮ Unnamed Item ⋮ Regular domains in homogeneous groups ⋮ Principal frequency of \(p\)-sub-Laplacians for general vector fields
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