An optimal symbolic calculus on Besov algebras

Gérard Bourdaud; Madani Moussai; Winfried Sickel

Annales de l'I.H.P. Analyse non linéaire (2006)

  • Volume: 23, Issue: 6, page 949-956
  • ISSN: 0294-1449

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Bourdaud, Gérard, Moussai, Madani, and Sickel, Winfried. "An optimal symbolic calculus on Besov algebras." Annales de l'I.H.P. Analyse non linéaire 23.6 (2006): 949-956. <http://eudml.org/doc/78722>.

@article{Bourdaud2006,
author = {Bourdaud, Gérard, Moussai, Madani, Sickel, Winfried},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Besov spaces; commutative Banach algebra; symbolic calculus; superposition operators},
language = {eng},
number = {6},
pages = {949-956},
publisher = {Elsevier},
title = {An optimal symbolic calculus on Besov algebras},
url = {http://eudml.org/doc/78722},
volume = {23},
year = {2006},
}

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
PB - Elsevier
VL - 23
IS - 6
SP - 949
EP - 956
LA - eng
KW - Besov spaces; commutative Banach algebra; symbolic calculus; superposition operators
UR - http://eudml.org/doc/78722
ER -

References

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  3. [3] Bourdaud G., Fonctions qui opèrent sur les espaces de Besov et de Triebel, Ann. Inst. H. Poincaré Anal. Non Linéaire10 (1993) 413-422. Zbl0741.46010MR1246460
  4. [4] Bourdaud G., Une propriété de composition dans l’espace H s , C. R. Acad. Sci. Paris, Ser. I340 (2005) 221-224. Zbl1072.46019MR2123032
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  7. [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. Zbl1134.46015MR2294787
  8. [8] Bourdaud G., Lanza de Cristoforis M., Sickel W., Superposition operators and functions of bounded p-variation. II, Nonlinear Anal. Ser. A62 (2005) 483-518. Zbl1090.47050MR2147980
  9. [9] G. Bourdaud, M. Moussai, W. Sickel, Towards sharp superposition theorems in Besov and Lizorkin–Triebel spaces, submitted for publication. Zbl1149.46026
  10. [10] Bourgain J., Brezis H., Mironescu P., Lifting in Sobolev spaces, J. Anal. Math.80 (2000) 37-86. Zbl0967.46026MR1771523
  11. [11] Katznelson Y., An Introduction to Harmonic Analysis, Dover, New York, 1976. Zbl0352.43001MR422992
  12. [12] Peetre J., Interpolation of Lipschitz operators and metric spaces, Mathematica (Cluj)12 (1970) 325-334. Zbl0217.44504MR482280
  13. [13] Peetre J., New Thoughts on Besov Spaces, Duke Univ. Math. Ser., vol. I, Duke Univ. Press, Durham, NC, 1976. Zbl0356.46038MR461123
  14. [14] Runst T., Sickel W., Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations, De Gruyter, Berlin, 1996. Zbl0873.35001MR1419319
  15. [15] Triebel H., Interpolation Theory, Function Spaces, Differential Operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. Zbl0387.46033MR500580
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  18. [18] Wiener N., The quadratic variation of a function and its Fourier coefficients, J. Math. Phys.3 (1924) 72-94. Zbl50.0203.01JFM50.0203.01

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