Bourdaud, Gérard 1 ; Moussai, Madani  ; Sickel, Winfried 
@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},
year = {2006},
publisher = {Elsevier},
volume = {23},
number = {6},
doi = {10.1016/j.anihpc.2006.06.001},
mrnumber = {2271703},
zbl = {05138728},
language = {en},
url = {https://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 - https://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 https://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
[1] , , Interpolation Spaces, Springer, Berlin, 1976. | Zbl
[2] , Le calcul fonctionnel dans les espaces de Sobolev, Invent. Math. 104 (1991) 435-446. | Zbl | MR
[3] , Fonctions qui opèrent sur les espaces de Besov et de Triebel, Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993) 413-422. | Zbl | MR | Numdam
[4] , Une propriété de composition dans l’espace , C. R. Acad. Sci. Paris, Ser. I 340 (2005) 221-224. | Zbl | MR
[5] , Une propriété de composition dans l’espace (II), C. R. Acad. Sci. Paris, Ser. I 342 (2006) 243-246. | Zbl | MR
[6] , , Functional calculus in Hölder-Zygmund spaces, Trans. Amer. Math. Soc. 354 (2002) 4109-4129. | Zbl | MR
[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. | Zbl | MR
[8] , , , Superposition operators and functions of bounded p-variation. II, Nonlinear Anal. Ser. A 62 (2005) 483-518. | Zbl | MR
[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. | Zbl | MR
[11] , An Introduction to Harmonic Analysis, Dover, New York, 1976. | Zbl | MR
[12] , Interpolation of Lipschitz operators and metric spaces, Mathematica (Cluj) 12 (1970) 325-334. | Zbl | MR
[13] , New Thoughts on Besov Spaces, Duke Univ. Math. Ser., vol. I, Duke Univ. Press, Durham, NC, 1976. | Zbl | MR
[14] , , Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations, De Gruyter, Berlin, 1996. | Zbl | MR
[15] , Interpolation Theory, Function Spaces, Differential Operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. | Zbl | MR
[16] , Theory of Function Spaces, Birkhäuser, Basel, 1983. | Zbl | MR
[17] , Theory of Function Spaces II, Birkhäuser, Basel, 1992. | Zbl | MR
[18] , The quadratic variation of a function and its Fourier coefficients, J. Math. Phys. 3 (1924) 72-94. | JFM
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