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Commutator estimates
Author(s):
Michael
Taylor
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1501-1507.
MSC (2000):
Primary 35S05, 35S50
Posted:
September 19, 2002
MathSciNet review:
1949880
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Abstract:
We produce a family of commutator estimates, bridging two sharp classical cases of Calderon-Coifman-Meyer type and of Kato-Ponce-Moser type, respectively. The result provides a useful sharpening of other commonly used commutator estimates.
References:
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- [B]
- J.-M. Bony, Calcul symbolique et propagation des singularitiés pour les équations aux dérivées nonlinéaires, Ann. Sci. Ecole Norm. Sup. 14 (1981), 209-246. MR 84h:35177
- [Cal]
- A. Calderon, Commutators of singular integral operators, Proc. NAS, USA 53 (1965), 1092-1099. MR 31:1575
- [CM]
- R. Coifman and Y. Meyer, Au dela des opérateurs pseudodifferentiels, Asterisque #57, Soc. Math. de France, 1978. MR 81b:47061
- [CM2]
- R. Coifman and Y. Meyer, Commutateurs d'intégrales singulières et opérateurs multilinéaires, Ann. Sci. Inst. Fourier 28 (1978), 177-202. MR 80a:47076
- [FS]
- C. Fefferman and E. Stein,
 functions of several variables, Acta Math. 129 (1972), 137-193. - [KP]
- T. Kato and G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, CPAM 41 (1988), 891-907. MR 90f:35162
- [MS]
- G. Métivier and S. Schochet, The incompressible limit of the non-isentropic Euler equations, Arch. Ration. Mech. Anal. 158 (2001), 61-90. MR 2002d:76095
- [Mey]
- Y. Meyer, Remarques sur un théorème de J. M. Bony, Rend. del Circolo Mat. di Palermo (suppl. II:1) (1981), 1-20. MR 83b:35169
- [T]
- M. Taylor, Pseudodifferential Operators and Nonlinear PDE, Birkhauser, Boston, 1991. MR 92j:35193
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Additional Information:
Michael
Taylor
Affiliation:
Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
Email:
met@math.unc.edu
DOI:
10.1090/S0002-9939-02-06723-0
PII:
S 0002-9939(02)06723-0
Received by editor(s):
December 13, 2001
Posted:
September 19, 2002
Additional Notes:
The author was partially supported by NSF grant DMS-9877077
Communicated by:
Andreas Seeger
Copyright of article:
Copyright
2002,
American Mathematical Society
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