L p and Hölder estimates for pseudodifferential operators: sufficient conditions
Annales de l'Institut Fourier, Volume 29 (1979) no. 3, p. 239-260

Continuity in L p 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.

La continuité des opérateurs pseudo-différentiels d’ordre zéro dans les espaces L p 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.

@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},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {29},
     number = {3},
     year = {1979},
     pages = {239-260},
     doi = {10.5802/aif.760},
     zbl = {0387.35065},
     mrnumber = {81c:47049},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1979__29_3_239_0}
}
Beals, Richard. $L^p$ and Hölder estimates for pseudodifferential operators: sufficient conditions. Annales de l'Institut Fourier, Volume 29 (1979) no. 3, pp. 239-260. doi : 10.5802/aif.760. http://www.numdam.org/item/AIF_1979__29_3_239_0/

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