Comptes Rendus
no. 5-6
Harmonic Analysis
Change of angle in tent spaces

Presented by: Yves Meyer

Pascal Auscher1
1 Univ. Paris-Sud and CNRS, laboratoire de mathématiques, UMR 8628, Orsay 91405 cedex, France
Comptes Rendus. Mathématique, Volume 349 (2011) no. 5-6, pp. 297-301.

We prove sharp bounds for the equivalence of norms in tent spaces with respect to changes of angles. Some applications are given.

On propose de démontrer les comparaisons précises entre les normes dans le même espace de tentes avec deux angles différents. On donne quelques conséquences.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2011.01.023

Pascal Auscher 1

1 Univ. Paris-Sud and CNRS, laboratoire de mathématiques, UMR 8628, Orsay 91405 cedex, France 
@article{CRMATH_2011__349_5-6_297_0,
     author = {Pascal Auscher},
     title = {Change of angle in tent spaces},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {297--301},
     publisher = {Elsevier},
     volume = {349},
     number = {5-6},
     year = {2011},
     doi = {10.1016/j.crma.2011.01.023},
     language = {en},
}
TY  - JOUR
AU  - Pascal Auscher
TI  - Change of angle in tent spaces
JO  - Comptes Rendus. Mathématique
PY  - 2011
SP  - 297
EP  - 301
VL  - 349
IS  - 5-6
PB  - Elsevier
DO  - 10.1016/j.crma.2011.01.023
LA  - en
ID  - CRMATH_2011__349_5-6_297_0
ER  - 
%0 Journal Article
%A Pascal Auscher
%T Change of angle in tent spaces
%J Comptes Rendus. Mathématique
%D 2011
%P 297-301
%V 349
%N 5-6
%I Elsevier
%R 10.1016/j.crma.2011.01.023
%G en
%F CRMATH_2011__349_5-6_297_0
Pascal Auscher. Change of angle in tent spaces. Comptes Rendus. Mathématique, Volume 349 (2011) no. 5-6, pp. 297-301. doi : 10.1016/j.crma.2011.01.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.01.023/

[1] P. Auscher; S. Hofmann; J.-M. Martell Vertical versus conical square functions (preprint) | arXiv

[2] P. Auscher; A. McIntosh; E. Russ Hardy spaces of differential forms and Riesz transforms on Riemannian manifolds, J. Geom. Anal., Volume 18 (2008), pp. 192-248

[3] P. Auscher, S. Monniaux, P. Portal, The maximal regularity operator on tent spaces, . Comm. Pure Appl. Anal., in press. | arXiv

[4] R. Coifman; Y. Meyer; E.M. Stein Some new function spaces and their applications to harmonic analysis, J. Funct. Anal., Volume 62 (1985), pp. 304-335

[5] C. Fefferman Inequalities for strongly singular convolution operators, Acta Math., Volume 124 (1970), pp. 9-36

[6] C. Fefferman; E.M. Stein Hp spaces of several variables, Acta Math., Volume 129 (1972), pp. 137-193

[7] S. Hofmann; S. Mayboroda Hardy and BMO spaces associated to divergence form elliptic operators, Math. Ann., Volume 344 (2009) no. 1, pp. 37-116

[8] T. Hytönen; J. van Neerven; P. Portal Conical square function estimates in UMD Banach spaces and applications to H∞-functional calculi, J. Analyse Math., Volume 106 (2008), pp. 317-351

[9] E.M. Stein Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series, vol. 30, Princeton University Press, Princeton, N.J., 1970

Cited by Sources:

Comments - Policy