Riesz potentials and p -superharmonic functions in Lie groups of Heisenberg type

DOI10.1112/blms/bdr102zbMath1242.31005arXiv1005.4090OpenAlexW3105948535MaRDI QIDQ2880385

Nicola Garofalo, Jeremy T. Tyson

Publication date: 13 April 2012

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4090

zbMATH Keywords

Lie group\(p\)-superharmonic functionFolland-Kaplan gaugegroup of Heisenberg typeRiesz potential of order \(\alpha\)

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Potentials and capacities on other spaces (31C15) Other generalizations (nonlinear potential theory, etc.) (31C45) Sub-Riemannian geometry (53C17) Potential theory on fractals and metric spaces (31E05)

Related Items (5)

Superposition of \(p\)-superharmonic functions ⋮ Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach ⋮ Stability theorems for H-type Carnot groups ⋮ Riesz potential on the Heisenberg group ⋮ Three-spheres theorems for subelliptic quasilinear equations in Carnot groups of Heisenberg-type

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