Taylor formula for homogeneous groups and applications

DOI10.1007/s00209-008-0372-zzbMath1286.43009OpenAlexW2029173927MaRDI QIDQ1024198

Andrea Bonfiglioli

Publication date: 16 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00209-008-0372-z

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Analysis on other specific Lie groups (43A80) Real polynomials: analytic properties, etc. (26C05) Real-analytic functions (26E05) Subelliptic equations (35H20)

Related Items (15)

Intrinsic expansions for averaged diffusion processes ⋮ Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients ⋮ Large time behavior for the heat equation on Carnot groups ⋮ Hardy's inequalities for the twisted convolution with Laguerre functions ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ Fourier multipliers for Hardy spaces on graded Lie groups ⋮ Intrinsic Taylor formula for Kolmogorov-type homogeneous groups ⋮ Schatten classes and commutators of Riesz transform on Heisenberg group and applications ⋮ Schauder estimates for sub-elliptic equations ⋮ MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS ⋮ Unnamed Item ⋮ A theory of regularity structures ⋮ Intrinsic fractional Taylor formula ⋮ Optimal regularity in the obstacle problem for Kolmogorov operators related to American Asian options ⋮ Hardy's inequalities for the Heisenberg group

Cites Work

• Schauder estimates for sub-elliptic equations
• Interior a priori estimates for solutions of fully nonlinear equations
• Taylor formula on step two Carnot groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Weak differentiability of BV functions on stratified groups
• Convex functions on the Heisenberg group
• An invariant Harnack inequality for a class of hypoelliptic ultraparabolic equations
• A VERSION OF THE HOPF-LAX FORMULA IN THE HEISENBERG GROUP
• Local behavior of solutions of general linear elliptic equations
• Elliptic second order equations
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Local behaviour of solutions to parabolic equations parabolic equations
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• Pointwise Schauder estimates for second order linear equations in Carnot groups
• ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Schauder estimates for elliptic operators with applications to nodal sets.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Taylor formula for homogeneous groups and applications