[Inégalités relatives aux relèvements et applications]
Nous présentons deux inégalités pour des relèvements des applications régulières du tore dans le cercle unité . Ces inégalités nous permettent de répondre à une question de J. Bourgain, H. Brezis, et P. Mironescu dans [J. Bourgain, H. Brezis, P. Mironescu, Lifting, degree, and distributional Jacobian revisited, Comm. Pure Appl. Math. 58 (2005) 529–551] et d'établir une estimation des relèvements dans l'esprit de R.R. Coifman et Y. Meyer [R.R. Coifman, Y. Meyer, Une généralisation du théorème de Calderon sur l'intégrale de Cauchy, in : Fourier Analysis, in : Proc. Sem., El Escorial, vol. 1, Asoc. Mat. Espa nola, Madrid, 1980, pp. 87–116].
We present two inequalities for liftings of smooth maps from the torus into the unit circle . Using these inequalities, we answer a question of J. Bourgain, H. Brezis, and P. Mironescu in [J. Bourgain, H. Brezis, P. Mironescu, Lifting, degree, and distributional Jacobian revisited, Comm. Pure Appl. Math. 58 (2005) 529–551] and establish an estimate of liftings in the spirit of R.R. Coifman and Y. Meyer [R.R. Coifman, Y. Meyer, Une généralisation du théorème de Calderon sur l'intégrale de Cauchy, in: Fourier Analysis, in: Proc. Sem., El Escorial, vol. 1, Asoc. Mat. Espa nola, Madrid, 1980, pp. 87–116].
Publié le :
@article{CRMATH_2008__346_17-18_957_0,
author = {Nguyen, Hoai-Minh},
title = {Inequalities related to liftings and applications},
journal = {Comptes Rendus. Math\'ematique},
pages = {957--962},
publisher = {Elsevier},
volume = {346},
number = {17-18},
year = {2008},
doi = {10.1016/j.crma.2008.07.026},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.07.026/}
}
TY - JOUR AU - Nguyen, Hoai-Minh TI - Inequalities related to liftings and applications JO - Comptes Rendus. Mathématique PY - 2008 SP - 957 EP - 962 VL - 346 IS - 17-18 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.07.026/ DO - 10.1016/j.crma.2008.07.026 LA - en ID - CRMATH_2008__346_17-18_957_0 ER -
%0 Journal Article %A Nguyen, Hoai-Minh %T Inequalities related to liftings and applications %J Comptes Rendus. Mathématique %D 2008 %P 957-962 %V 346 %N 17-18 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.07.026/ %R 10.1016/j.crma.2008.07.026 %G en %F CRMATH_2008__346_17-18_957_0
Nguyen, Hoai-Minh. Inequalities related to liftings and applications. Comptes Rendus. Mathématique, Tome 346 (2008) no. 17-18, pp. 957-962. doi : 10.1016/j.crma.2008.07.026. http://www.numdam.org/articles/10.1016/j.crma.2008.07.026/
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