Compensation couples and isoperimetric estimates for vector fields
Franchi, Bruno ; Wheeden, Richard
Colloquium Mathematicae, Tome 72 (1997), p. 9-27 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:210506 
@article{bwmeta1.element.bwnjournal-article-cmv74i1p9bwm,
     author = {Bruno Franchi and Richard Wheeden},
     title = {Compensation couples and isoperimetric estimates for vector fields},
     journal = {Colloquium Mathematicae},
     volume = {72},
     year = {1997},
     pages = {9-27},
     zbl = {0915.46028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv74i1p9bwm}
}

Franchi, Bruno; Wheeden, Richard. Compensation couples and isoperimetric estimates for vector fields. Colloquium Mathematicae, Tome 72 (1997) pp. 9-27. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv74i1p9bwm/

[000] [C] A. P. Calderón, Inequalities for the maximal function relative to a metric, Studia Math. 57 (1976), 297-306. | Zbl 0341.44007

[001] [CDG] L. Capogna, D. Danielli and N. Garofalo, The geometric Sobolev embedding for vector fields and the isoperimetric inequality, Comm. Anal. Geom. 2 (1994), 203-215. | Zbl 0864.46018

[002] [CW] R. R. Coifman et G. Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Math. 242, Springer, 1971, 1-158.

[003] [CUN] D. Cruz-Uribe, SFO, and C. J. Neugebauer, The structure of the reverse Hölder classes, Trans. Amer. Math. Soc. 347 (1995), 2941-2960. | Zbl 0851.42016

[004] [FP] C. Fefferman and D. H. Phong, Subelliptic eigenvalue estimates, in: Conference on Harmonic Analysis in Honor of A. Zygmund, Chicago, 1980, W. Beckner et al. (eds.), Wadsworth, 1981, 590-606.

[005] [F] B. Franchi, Weighted Sobolev-Poincaré inequalities and pointwise estimates for a class of degenerate elliptic equations, Trans. Amer. Math. Soc. 327 (1991), 125-158. | Zbl 0751.46023

[006] [FGaW1] B. Franchi, S. Gallot et R. L. Wheeden, Inégalités isopérimétriques pour des métriques dégénérées, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), 651-654.

[007] [FGaW2] B. Franchi, S. Gallot et R. L. Wheeden, Sobolev and isoperimetric inequalities for degenerate metrics, Math. Ann. 300 (1994), 557-571. | Zbl 0830.46027

[008] [FGuW] B. Franchi, C. E. Gutiérrez and R. L. Wheeden, Weighted Sobolev-Poincaré inequalities for Grushin type operators, Comm. Partial Differential Equations 19 (1994), 523-604. | Zbl 0822.46032

[009] [FLW] B. Franchi, G. Lu and R. L. Wheeden, Representation formulas and weighted Poincaré inequalities for Hörmander vector fields, Ann. Inst. Fourier (Grenoble) 45 (1995), 577-604. | Zbl 0820.46026

[010] [G] M. Gromov, Carnot-Carathéodory spaces seen from within, Prépublications de l'IHES (1994). | Zbl 0864.53025

[011] [H] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Grundlehren Math. Wiss. 256, Springer, Berlin, 1983.

[012] [NSW] A. Nagel, E. M. Stein and S. Wainger, Balls and metrics defined by vector fields I: basic properties, Acta Math. 155 (1985), 103-147. | Zbl 0578.32044

[013] [S] E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality and Oscillatory Integrals, Princeton Univ. Press, Princeton, 1993. | Zbl 0821.42001