La continuité des opérateurs pseudo-différentiels d’ordre zéro dans les espaces et dans des espaces de Hölder est démontrée, sous des conditions générales pour les symboles. On esquisse des applications à la théorie de régularité des opérateurs hypoelliptiques.
Continuity in spaces and spaces of Hölder type is proved for pseudodifferential operators of order zero, under general conditions on the class of symbols. Applications to the regularity theory of some hypoelliptic operators are outlined.
@article{AIF_1979__29_3_239_0,
author = {Beals, Richard},
title = {$L^p$ and {H\"older} estimates for pseudodifferential operators: sufficient conditions},
journal = {Annales de l'Institut Fourier},
pages = {239--260},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {29},
number = {3},
year = {1979},
doi = {10.5802/aif.760},
mrnumber = {81c:47049},
zbl = {0387.35065},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.760/}
}
TY - JOUR AU - Beals, Richard TI - $L^p$ and Hölder estimates for pseudodifferential operators: sufficient conditions JO - Annales de l'Institut Fourier PY - 1979 SP - 239 EP - 260 VL - 29 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.760/ DO - 10.5802/aif.760 LA - en ID - AIF_1979__29_3_239_0 ER -
%0 Journal Article %A Beals, Richard %T $L^p$ and Hölder estimates for pseudodifferential operators: sufficient conditions %J Annales de l'Institut Fourier %D 1979 %P 239-260 %V 29 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.760/ %R 10.5802/aif.760 %G en %F AIF_1979__29_3_239_0
Beals, Richard. $L^p$ and Hölder estimates for pseudodifferential operators: sufficient conditions. Annales de l'Institut Fourier, Tome 29 (1979) no. 3, pp. 239-260. doi : 10.5802/aif.760. http://www.numdam.org/articles/10.5802/aif.760/
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