Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
Bruno Franchi; Guozhen Lu; Richard L. Wheeden
Annales de l'institut Fourier (1995)
- Volume: 45, Issue: 2, page 577-604
- ISSN: 0373-0956
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topFranchi, Bruno, Lu, Guozhen, and Wheeden, Richard L.. "Representation formulas and weighted Poincaré inequalities for Hörmander vector fields." Annales de l'institut Fourier 45.2 (1995): 577-604. <http://eudml.org/doc/75130>.
@article{Franchi1995,
abstract = {We derive weighted Poincaré inequalities for vector fields which satisfy the Hörmander condition, including new results in the unweighted case. We also derive a new integral representation formula for a function in terms of the vector fields applied to the function. As a corollary of the $L^1$ versions of Poincaré’s inequality, we obtain relative isoperimetric inequalities.},
author = {Franchi, Bruno, Lu, Guozhen, Wheeden, Richard L.},
journal = {Annales de l'institut Fourier},
keywords = {Hörmander vector fields; weighted Poincaré inequalities; representation formulas; isoperimetric inequalities},
language = {eng},
number = {2},
pages = {577-604},
publisher = {Association des Annales de l'Institut Fourier},
title = {Representation formulas and weighted Poincaré inequalities for Hörmander vector fields},
url = {http://eudml.org/doc/75130},
volume = {45},
year = {1995},
}
TY - JOUR
AU - Franchi, Bruno
AU - Lu, Guozhen
AU - Wheeden, Richard L.
TI - Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
JO - Annales de l'institut Fourier
PY - 1995
PB - Association des Annales de l'Institut Fourier
VL - 45
IS - 2
SP - 577
EP - 604
AB - We derive weighted Poincaré inequalities for vector fields which satisfy the Hörmander condition, including new results in the unweighted case. We also derive a new integral representation formula for a function in terms of the vector fields applied to the function. As a corollary of the $L^1$ versions of Poincaré’s inequality, we obtain relative isoperimetric inequalities.
LA - eng
KW - Hörmander vector fields; weighted Poincaré inequalities; representation formulas; isoperimetric inequalities
UR - http://eudml.org/doc/75130
ER -
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Citations in EuDML Documents
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- Daniele Morbidelli, Fractional Sobolev norms and structure of Carnot-Carathéodory balls for Hörmander vector fields
- Guozhen Lu, Richard Wheeden, High order representation formulas and embedding theorems on stratified groups and generalizations
- Francescopaolo Montefalcone, Some relations among volume, intrinsic perimeter and one-dimensional restrictions of functions in Carnot groups
- Franchi, Bruno, spaces and rectifiability for Carnot-Carathéodory metrics: an introduction
- Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu, Trace inequalities for Carnot-Carathéodory spaces and applications
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