Higher order Poincaré inequalities associated with linear operators on stratified groups and applications

DOI10.1007/s00209-003-0501-7zbMath1023.46032OpenAlexW2130119526MaRDI QIDQ1401499

Guozhen Lu, William S. Cohn, Lu, Shanzhen

Publication date: 17 August 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0501-7

zbMATH Keywords

Poincaré inequalityanisotropic Sobolev spacesstratified groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nilpotent and solvable Lie groups (22E25) Approximation by polynomials (41A10)

Related Items (3)

Potential analysis on Carnot groups. II: Relationship between Hausdorff measures and capacities ⋮ The higher integrability of commutators of Calderón-Zygmund singular integral operators on differential forms ⋮ Quasilinear equations with source terms on Carnot groups

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