Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces

DOI10.1007/978-0-387-85648-3_5zbMath1173.26320arXiv0804.2833OpenAlexW1678825794MaRDI QIDQ3613581

Nguyen Cong Phuc, Nicola Garofalo, Donatella Danielli

Publication date: 12 March 2009

Published in: Sobolev Spaces In Mathematics I (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2833

zbMATH Keywords

Poincaré inequalityHardy-Sobolev type inequalitiesCarnot-Carathéodry space

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (14)

Global higher integrability for very weak solutions to nonlinear subelliptic equations ⋮ Hardy inequalities for the Heisenberg Laplacian on convex bounded polytopes ⋮ A \({\mathtt p}(\cdot )\)-Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups ⋮ Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries ⋮ A two-weight Sobolev inequality for Carnot-Carathéodory spaces ⋮ On the Hardy–Sobolev Inequalities ⋮ On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces ⋮ The equivalence between pointwise Hardy inequalities and uniform fatness ⋮ GLOBAL HIGHER INTEGRABILITY OF SOLUTIONS TO SUBELLIPTIC DOUBLE OBSTACLE PROBLEMS ⋮ Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group ⋮ Analytical approach of the symmetry: sharp supercritical Hardy-Sobolev inequalities and applications ⋮ Hardy type inequalities related to Carnot-Carathéodory distance on the Heisenberg group ⋮ Sharp convex Lorentz-Sobolev inequalities ⋮ Characterizations for the Hardy Inequality

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