A Fefferman-Poincaré type inequality for Carnot-Carathéodory vector fields

DOI10.1090/S0002-9939-02-06394-3zbMath1031.46038MaRDI QIDQ4330591

Giuseppe Di Fazio, Pietro Zamboni

Publication date: 13 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Stummel-Kato classCarnot-Carathéodory vector fieldFefferman-Poincaré inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (6)

Unnamed Item ⋮ High order Fefferman-Phong type inequalities in Carnot groups and regularity for degenerate elliptic operators plus a potential ⋮ Sum Operators and Fefferman–Phong Inequalities ⋮ Higher-order Fefferman-Poincaré type inequalities and applications ⋮ Harnack inequality for degenerate elliptic equations and sum operators ⋮ Nonlinear elliptic equations related to weighted sum operators

Cites Work

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• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• A Fefferman-Phong type inequality and applications to quasilinear subelliptic equations
• Unique continuation for non-negative solutions of quasilinear elliptic equations
• Harnack's Inequality for Schrodinger Operators and the Continuity of Solutions
• The uncertainty principle
• Brownian motion and harnack inequality for Schrödinger operators
• An Optimal Representation Formula for Carnot-Carathéodory Vector Fields

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