À l’aide des estimations de Hörmander pour l’opérateur
Using Hörmander’s estimates for
DOI :
10.5802/aif.736
@article{AIF_1979__29_1_229_0, author = {Dufresnoy, Alain}, title = {Sur l{\textquoteright}op\'erateur $d^{\prime \prime }$ et les fonctions diff\'erentiables au sens de {Whitney}}, journal = {Annales de l'Institut Fourier}, pages = {229--238}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {29}, number = {1}, year = {1979}, doi = {10.5802/aif.736}, mrnumber = {80i:32050}, zbl = {0387.32011}, language = {fr}, url = {http://www.numdam.org/articles/10.5802/aif.736/} }
TY - JOUR AU - Dufresnoy, Alain TI - Sur l’opérateur $d^{\prime \prime }$ et les fonctions différentiables au sens de Whitney JO - Annales de l'Institut Fourier PY - 1979 SP - 229 EP - 238 VL - 29 IS - 1 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.736/ DO - 10.5802/aif.736 LA - fr ID - AIF_1979__29_1_229_0 ER -
%0 Journal Article %A Dufresnoy, Alain %T Sur l’opérateur $d^{\prime \prime }$ et les fonctions différentiables au sens de Whitney %J Annales de l'Institut Fourier %D 1979 %P 229-238 %V 29 %N 1 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.736/ %R 10.5802/aif.736 %G fr %F AIF_1979__29_1_229_0
Dufresnoy, Alain. Sur l’opérateur $d^{\prime \prime }$ et les fonctions différentiables au sens de Whitney. Annales de l'Institut Fourier, Tome 29 (1979) no. 1, pp. 229-238. doi : 10.5802/aif.736. http://www.numdam.org/articles/10.5802/aif.736/
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-
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operator, Arkiv för Matematik, Volume 47 (2009) no. 2, pp. 231-241 | DOI:10.1007/s11512-008-0081-1 | Zbl:1204.32025 - Property (
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- Local solvability of the
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on -pseudoconvex domains, Journal d'Analyse Mathématique, Volume 95 (2005), pp. 45-61 | DOI:10.1007/bf02791496 | Zbl:1082.32029 - Solvability of the
problem with regularity up to the boundary on wedges of , Israel Journal of Mathematics, Volume 115 (2000), pp. 321-331 | DOI:10.1007/bf02810593 | Zbl:0953.32028 -
and Problems on Nonsmooth Domains, Analysis and Geometry in Several Complex Variables (1999), p. 159 | DOI:10.1007/978-1-4612-2166-1_8 - The
problem on domains with piecewise smooth boundaries with applications, Transactions of the American Mathematical Society, Volume 351 (1999) no. 11, pp. 4365-4380 | DOI:10.1090/s0002-9947-99-02519-2 | Zbl:0926.35100 - Régularité Gevrey au sens de Beurling ou Roumieu pour l’opérateur
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- Local solvability for
with Gevrey regularity up to the boundary of a - convex domain, Mathematische Zeitschrift, Volume 218 (1995) no. 2, pp. 305-317 | DOI:10.1007/bf02571906 | Zbl:0816.32013 - Microlocalisation tempérée, Mémoires de la Société Mathématique de France. Nouvelle Série, 57, Société Mathématique de France (SMF), Paris, 1994 | DOI:10.24033/msmf.371 | Zbl:0805.58059
- On the
-regularity of the -operator at the boundary of a domain in whose Levi form has exactly strictly negative eigenvalues, Mathematische Annalen, Volume 295 (1993) no. 1, pp. 135-161 | DOI:10.1007/bf01444880 | Zbl:0788.32010 - Holomorphic extension and decomposition from a totally real manifold, Transactions of the American Mathematical Society, Volume 339 (1993) no. 1, pp. 1-33 | DOI:10.2307/2154206 | Zbl:0784.32004
- On the
-problem up to the boundary of domain in whose Levi form has exactly negative eigenvalues), Comptes Rendus de l'Académie des Sciences. Série I, Volume 314 (1992) no. 6, pp. 445-448 | Zbl:0751.32012 - Régularité höldérienne de l'opérateur
sur le triangle de Hartogs. (Hölder regularity of the operator on the Hartogs triangle.), Annales de l'Institut Fourier, Volume 41 (1991) no. 4, pp. 867-882 | DOI:10.5802/aif.1277 | Zbl:0735.32004 - On the extension of CR-functions, Mathematische Zeitschrift, Volume 206 (1991) no. 1, pp. 89-102 | DOI:10.1007/bf02571328 | Zbl:0721.32008
- Noyaux pour résoudre l'équation
u dans des classes indéfiniment différentiables. (Kernels to solve the equation u in infinitely differentiable classes), Comptes Rendus de l'Académie des Sciences. Série I, Volume 306 (1988) no. 14, pp. 585-588 | Zbl:0658.35067 - Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut, Mathematische Annalen, Volume 257 (1981), pp. 171-184 | DOI:10.1007/bf01458282 | Zbl:0451.32012
- Annulations et calculs infinitesimaux de Laplacien pour un fibre non intégrable, Bulletin des Sciences Mathématiques. Deuxième Série, Volume 100 (1977), pp. 353-368 | Zbl:0394.32014
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