Basic properties of nonsmooth Hörmander's vector fields and Poincaré's inequality
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Publication:2844271
DOI10.1515/form.2011.133zbMath1357.46027arXiv0809.2872OpenAlexW2108121102MaRDI QIDQ2844271
Marco Pedroni, Marco Bramanti, Luca Brandolini
Publication date: 28 August 2013
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.2872
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Elliptic equations on manifolds, general theory (58J05) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (15)
Convex hull property and exclosure theorems for \(H\)-minimal hypersurfaces in Carnot groups ⋮ Surface measure on, and the local geometry of, sub-Riemannian manifolds ⋮ Local real analysis in locally homogeneous spaces ⋮ Fundamental solutions and local solvability for nonsmooth Hörmander’s operators ⋮ Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields ⋮ Nonsmooth Hörmander vector fields and their control balls ⋮ A compactness result for BV functions in metric spaces ⋮ The Poincaré inequality for \(C^{1,\alpha}\)-smooth vector fields ⋮ An extension of Hörmander's hypoellipticity theorem ⋮ Multi-parameter Carnot-Carathéodory balls and the theorem of Frobenius ⋮ Poincaré-type inequality for Lipschitz continuous vector fields ⋮ Local Solvability of Nonsmooth Hörmander’s Operators ⋮ The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE ⋮ On the regularity of vector fields underlying a degenerate-elliptic PDE ⋮ Integral representations for bracket-generating multi-flows
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