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

Author(s): Giuseppe Di Fazio; Pietro Zamboni
Journal: Proc. Amer. Math. Soc. 130 (2002), 2655-2660.
MSC (2000): Primary 46E35; Secondary 35B60
Posted: February 4, 2002
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Abstract: In this note we prove a Fefferman-Poincaré type inequality in spaces with metric induced by Carnot-Carathéodory vector fields.

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Additional Information:

Giuseppe Di Fazio
Affiliation: Università di Catania, Dipartimento di Matematica, viale Andrea Doria 6, 95125 Catania, Italy
Email: difazio@dmi.unict.it

Pietro Zamboni
Affiliation: Università di Catania, Dipartimento di Matematica, viale Andrea Doria 6, 95125 Catania, Italy
Email: zamboni@dmi.unict.it

DOI: 10.1090/S0002-9939-02-06394-3
PII: S 0002-9939(02)06394-3
Keywords: Fefferman-Poincar\'{e} inequality, Carnot-Carath\'{e}odory vector fields, Stummel-Kato class
Received by editor(s): July 21, 2000
Received by editor(s) in revised form: April 6, 2001
Posted: February 4, 2002
Dedicated: Dedicated to Professor Michele Frasca on the occasion of his sixtieth birthday
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 2002, American Mathematical Society

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