@article{AIHPC_2006__23_6_949_0, author = {Bourdaud, G\'erard and Moussai, Madani and Sickel, Winfried}, title = {An optimal symbolic calculus on {Besov} algebras}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {949--956}, publisher = {Elsevier}, volume = {23}, number = {6}, year = {2006}, doi = {10.1016/j.anihpc.2006.06.001}, mrnumber = {2271703}, zbl = {05138728}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.06.001/} }
TY - JOUR AU - Bourdaud, Gérard AU - Moussai, Madani AU - Sickel, Winfried TI - An optimal symbolic calculus on Besov algebras JO - Annales de l'I.H.P. Analyse non linéaire PY - 2006 SP - 949 EP - 956 VL - 23 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2006.06.001/ DO - 10.1016/j.anihpc.2006.06.001 LA - en ID - AIHPC_2006__23_6_949_0 ER -
%0 Journal Article %A Bourdaud, Gérard %A Moussai, Madani %A Sickel, Winfried %T An optimal symbolic calculus on Besov algebras %J Annales de l'I.H.P. Analyse non linéaire %D 2006 %P 949-956 %V 23 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2006.06.001/ %R 10.1016/j.anihpc.2006.06.001 %G en %F AIHPC_2006__23_6_949_0
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried. An optimal symbolic calculus on Besov algebras. Annales de l'I.H.P. Analyse non linéaire, Tome 23 (2006) no. 6, pp. 949-956. doi : 10.1016/j.anihpc.2006.06.001. http://www.numdam.org/articles/10.1016/j.anihpc.2006.06.001/
[1] Interpolation Spaces, Springer, Berlin, 1976. | Zbl
, ,[2] Le calcul fonctionnel dans les espaces de Sobolev, Invent. Math. 104 (1991) 435-446. | MR | Zbl
,[3] Fonctions qui opèrent sur les espaces de Besov et de Triebel, Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993) 413-422. | Numdam | MR | Zbl
,[4] Une propriété de composition dans l’espace , C. R. Acad. Sci. Paris, Ser. I 340 (2005) 221-224. | MR | Zbl
,[5] Une propriété de composition dans l’espace (II), C. R. Acad. Sci. Paris, Ser. I 342 (2006) 243-246. | MR | Zbl
,[6] Functional calculus in Hölder-Zygmund spaces, Trans. Amer. Math. Soc. 354 (2002) 4109-4129. | MR | Zbl
, ,[7] G. Bourdaud, M. Lanza de Cristoforis, W. Sickel, Superposition operators and functions of bounded p-variation, Rev. Mat. Iberoamer., in press. Prépublication 362 (Fév. 2004), Institut de Mathématiques de Jussieu, Unité Mixte de Recherche 7586, Université Paris VI et Paris VII/CNRS, http://www.institut.math.jussieu.fr. | MR | Zbl
[8] Superposition operators and functions of bounded p-variation. II, Nonlinear Anal. Ser. A 62 (2005) 483-518. | MR | Zbl
, , ,[9] G. Bourdaud, M. Moussai, W. Sickel, Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces, submitted for publication.
[10] Lifting in Sobolev spaces, J. Anal. Math. 80 (2000) 37-86. | MR | Zbl
, , ,[11] An Introduction to Harmonic Analysis, Dover, New York, 1976. | MR | Zbl
,[12] Interpolation of Lipschitz operators and metric spaces, Mathematica (Cluj) 12 (1970) 325-334. | MR | Zbl
,[13] New Thoughts on Besov Spaces, Duke Univ. Math. Ser., vol. I, Duke Univ. Press, Durham, NC, 1976. | MR | Zbl
,[14] Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations, De Gruyter, Berlin, 1996. | MR | Zbl
, ,[15] Interpolation Theory, Function Spaces, Differential Operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. | MR | Zbl
,[16] Theory of Function Spaces, Birkhäuser, Basel, 1983. | MR | Zbl
,[17] Theory of Function Spaces II, Birkhäuser, Basel, 1992. | MR | Zbl
,[18] The quadratic variation of a function and its Fourier coefficients, J. Math. Phys. 3 (1924) 72-94. | JFM
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