A Wiener algebra for the Fefferman-Phong inequality
Nicolas Lerner[1]; Yoshinori Morimoto[2]
- [1] Université de Rennes 1, Irmar, Campus de Beaulieu, 35042 Rennes cedex, France
- [2] Grad.School of Hum.&Environ. Studies, Kyoto University, Kyoto 606-8501, Japan
Séminaire Équations aux dérivées partielles (2005-2006)
- Volume: 2005-2006, page 1-10
Access Full Article
topHow to cite
topLerner, Nicolas, and Morimoto, Yoshinori. "A Wiener algebra for the Fefferman-Phong inequality." Séminaire Équations aux dérivées partielles 2005-2006 (2005-2006): 1-10. <http://eudml.org/doc/11129>.
@article{Lerner2005-2006,
affiliation = {Université de Rennes 1, Irmar, Campus de Beaulieu, 35042 Rennes cedex, France; Grad.School of Hum.&Environ. Studies, Kyoto University, Kyoto 606-8501, Japan},
author = {Lerner, Nicolas, Morimoto, Yoshinori},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {Sjöstrand algebra; Weyl operator; Fefferman-Phong inequality},
language = {eng},
pages = {1-10},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {A Wiener algebra for the Fefferman-Phong inequality},
url = {http://eudml.org/doc/11129},
volume = {2005-2006},
year = {2005-2006},
}
TY - JOUR
AU - Lerner, Nicolas
AU - Morimoto, Yoshinori
TI - A Wiener algebra for the Fefferman-Phong inequality
JO - Séminaire Équations aux dérivées partielles
PY - 2005-2006
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2005-2006
SP - 1
EP - 10
LA - eng
KW - Sjöstrand algebra; Weyl operator; Fefferman-Phong inequality
UR - http://eudml.org/doc/11129
ER -
References
top- Y.Morimoto H.Ando, Wick calculus and the Cauchy problem for some dispersive equations, Osaka J. Math. 39 (2002), 123-147 Zbl1027.35169MR1883917
- A Boulkhemair, Remarks on a Wiener type pseudodifferential algebra and Fourier integral operators, Math.Res.Lett. 4 (1997), 53-67 Zbl0905.35103MR1432810
- A Boulkhemair, estimates for Weyl quantization, J.Func.Anal. 165 (1999), 173-204 Zbl0934.35217MR1696697
- F.A Berezin, Quantization, Math.USSR, Izvest. 8 (1974), 1109-1165 Zbl0312.53049
- J.-M Bony, Sur l’inégalité de Fefferman-Phong, Séminaire EDP, Ecole Polytechnique (1998-99)
- J.-M Bony, Décomposition des fonctions positives en sommes de carrés, Journées Equations aux Dérivées Partielles (2004) Zbl1152.26301MR2135358
- A Córdoba, C.L Fefferman, Wave packets and Fourier integral operators, Comm. Partial Differential Equations 3 (1978), 979-1005 Zbl0389.35046MR507783
- C Fefferman, D.H Phong, On positivity of pseudo-differential equations, Proc.Nat.Acad.Sci. 75 (1978), 4673-4674 Zbl0391.35062MR507931
- G Glaeser, Racine carrée d’une fonction différentiable, Ann.Inst.Fourier 13 (1963), 203-210 Zbl0128.27903
- K Gröchenig, M Leinert, Wiener’s lemma for twisted convolution and Gabor frames, J. Amer. Math. Soc. 17 (2004), 1-18 Zbl1037.22012
- P Guan, A Priori Estimates for Degenerate Monge-Ampère Equations, Duke Math. J. 86 (1997), 323-346. Zbl0879.35059MR1430436
- L Hörmander, The Weyl calculus of pseudodifferential operators, Comm. Pure Appl. Math. 32 (1979), 360-444 Zbl0388.47032MR517939
- L Hörmander, The analysis of linear partial differential operators I-IV, (1983-85), Springer Verlag Zbl0521.35001
- F Hérau, Melin-Hörmander inequality in a Wiener type pseudo-differential algebra, Ark. Mat. 39 (2001), 311-338 Zbl1039.35149MR1861063
- O.D Kellogg, On bounded polynomials in several variables, Math.Z. 27 (1928), 55-64 Zbl53.0082.03MR1544896
- N Lerner, Energy methods via coherent states and advanced pseudo-differential calculus, Multidimensional complex analysis and partial differential equations (1997), 177-201, Contemporary Mathematics Zbl0885.35152MR1447224
- Y.Morimoto N.Lerner, On the Fefferman-Phong inequality and a Wiener-type algebra of pseudodifferential operators, preprint, 33 pages, http://perso.univ-rennes1.fr/nicolas.lerner/ (Feb.23, 2006) Zbl1131.47048MR2341014
- J Sjöstrand, An algebra of pseudodifferential operators, Math.Res.Lett. 1 (1994), 2, 189-192 Zbl0840.35130MR1266757
- J Sjöstrand, Wiener type algebras of pseudodifferential operators, Séminaire EDP, École Polytechnique (1994-95) Zbl0880.35145MR1362552
- D Tataru, On the Fefferman-Phong inequality and related problems, Comm. Partial Differential Equations 27 (2002), 2101-2138 Zbl1045.35115MR1944027
- A Unterberger, Oscillateur harmonique et opérateurs pseudo-différentiels, Ann.Inst.Fourier 29 (1979), 201-221 Zbl0396.47027MR552965
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.