Taylor formula on step two Carnot groups

DOI10.4171/RMI/600zbMath1192.22005OpenAlexW1997887913MaRDI QIDQ971968

Antonio Causa, Gabriella Arena, Andrea O. Caruso

Publication date: 17 May 2010

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1266330123

zbMATH Keywords

Carnot groupsTaylor formulas

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Continuity and differentiation questions (26B05) Real polynomials: analytic properties, etc. (26C05)

Related Items (7)

Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients ⋮ A C^k Lusin approximation theorem for real-valued functions on Carnot groups ⋮ Intrinsic Taylor formula for Kolmogorov-type homogeneous groups ⋮ Intrinsic fractional Taylor formula ⋮ Taylor formula for homogeneous groups and applications ⋮ Uniqueness of Viscosity Mean Curvature Flow Solution in Two Sub-Riemannian Structures ⋮ Hardy's inequalities for the Heisenberg group

Cites Work

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• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Rectifiability and perimeter in the Heisenberg group

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