Au-delà des opérateurs pseudo-différentiels

Coifman, Ronald R. ; Meyer, Yves

Astérisque, no. 57 (1978) , 210 p.

MR Zbl | 68 citations dans Numdam

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     author = {Coifman, Ronald R. and Meyer, Yves},
     title = {Au-del\`a des op\'erateurs pseudo-diff\'erentiels},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {57},
     year = {1978},
     mrnumber = {518170},
     zbl = {0483.35082},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1978__57__1_0/}
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%A Meyer, Yves
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Coifman, Ronald R.; Meyer, Yves. Au-delà des opérateurs pseudo-différentiels. Astérisque, no. 57 (1978), 210 p. http://numdam.org/item/AST_1978__57__1_0/

Bibliographie
Cité par

[1] Beals, R. Characterization of pseudo-differential operators and applications. Duke Math. J. 44 (1977), 45-57. | MR | Zbl | DOI

[2] Beurling, A. Construction and analysis of some convolution algebras. Ann. Inst. Fourier 14 (1964), 1-32. | DOI | MR | Zbl | EuDML | Numdam

[3] Calderón, A. P. Commutators of singular integral operators. Proc. Nat. Acad. Sc. USA 53 (1965), 1092-1099. | MR | Zbl | DOI

[4] Calderón, A. P. Algebras of singular integral operators. Proc. Symp. in Pure Math. 10 (1966), 18-55. | Zbl | MR | DOI

[5] Calderón, A. P. Singular integrals. Bull. Amer. Math. Soc. 72 (1966), 426-465. | MR | Zbl | DOI

[6] Calderón, A. P. Cauchy integrals on Lipschitz curves and related operators. Proc. Nat. Acad. Sc. USA 74 (1977), 1324-1327. | MR | Zbl | DOI

[7] Calderón, A. P. and Vaillancourt, R. On the boundedness of pseudo-differential operators. J. Math. Soc. Japan 23 (1971), 374-378. | MR | Zbl | DOI

[8] - Calderón, A. P. and Vaillancourt, R. A class of bounded pseudo-differential operators. Proc. Nat. Acad. Sc. USA 69 (1972), 1185-1187. | MR | Zbl | DOI

[9] Calderón, A. P. and Zygmund, A. On the existence of certain singular integrals. Acta Math. 88 (1952), 85-139. | MR | Zbl | DOI

[10] Calderón, A. P. and Zygmund, A. Singular integrals and periodic functions. Studia Math. 14 (1953), 249-271. | MR | Zbl | EuDML | DOI

[11] Calderón, A. P. and Zygmund, A. On singular integrals. Amer. J. Math. 78 (1956), 289-309. | MR | Zbl | DOI

[12] Calderón, A. P. and Zygmund, A. Algebras of certain singular integral operators. Amer. J. Math. 78 (1956), 310-320. | MR | Zbl | DOI

[13] Carleson, L. Interpolation by bounded analytic functions and the corona problem. Ann. Math. 76 (1962), 547-559. | MR | Zbl | DOI

[14] Carleson, L. The corona theorem. Proc. 15th Scandinavian Congress, Oslo, 1968. Lecture notes in Math. n° 118, Springer-Verlag. | MR | Zbl

[15] - Carleson, L. On convergence and growth of partial sums of Fourier series. Acta Math. 116 (1966), 135-157. | MR | Zbl | DOI

[16] Carleson, L. Two remarks on $H^{1}$ and BMO. Advances in Math. 22 (1976), 269-277. | MR | Zbl | DOI

[17] Coifman, R. A real variables characterization of $H^{P}$ . Studia Math. 24 (1974), 269-274. | EuDML | Zbl | MR | DOI

[18] Coifman, R. and Fefferman, C. Weighted norm inequalities for maximal functions and singular integrals. Studia Math. (1974), 241-250. | MR | Zbl | EuDML | DOI

[19] Coifman, R. and Meyer, Y. On commutators of singular integrals and bilinear singular integrals. Trans. Amer. Math. Soc. 212 (1975), 315-331. | MR | Zbl | DOI

[20] Coifman, R. and Meyer, Y. Le double commutateur. Analyse Harmonique d'Orsay 180 (1976), Univ. Paris-Sud.

[21] Coifman, R. and Meyer, Y. Commutateurs d' intégrales singulières et opérateurs multilinéaires. Ann. Inst. Fourier Grenoble, (1978). | MR | Zbl | EuDML | DOI

[22] Coifman, R. et Weiss, G. Analyse harmonique non commutative sur certains espaces homogènes. Lecture notes in Math. 242 (1971), Springer-Verlag, Berlin. | MR | Zbl

[23] Coifman, R. et Weiss, G. Extensions of Hardy spaces and their use in analysis. Bull. Amer. Math. Soc. 83 (1977), 569-645. | MR | Zbl | DOI

[24] Cordes, H. On compactness of commutators of multiplications and convolutions and boundedness of pseudodifferential operators. J, Funct. Anal. 18 (1975), 115-131. | MR | Zbl | DOI

[25] Cotlar, M. Some generalizations of the Hardy-Littlewood maximal theorem. Rev. Mat. Cuyana 1 (1955), 85-104. | MR | Zbl

[26] Cotlar, M. A unified theory of Hilbert transforms and ergodic theory. Rev. Mat. Cuyana 1 (1955), 105-167. | MR | Zbl

[27] Deleeuw, K. On $L^{P}$ multipliers. Ann. Math. 81 (1965), 364-379. | MR | Zbl | DOI

[28] Fefferman, C. $L^{P}$ bounds for pseudo-differential operators. Israël J. Math. 14 (1973), 413-417. | MR | Zbl | DOI

[29] Fefferman, C. The multiplier problem for the ball. Ann. Math. 94 (1971), 330-336. | MR | Zbl | DOI

[30] Fefferman, C. Recent progress in classical Fourier analysis. ICM Vancouver (1974). | Zbl

[31] Fefferman, C. and Stein, E. M. $H^{P}$ spaces of several variables. Acta Math. 129 (1972), 137-193. | MR | Zbl | DOI

[32] Gibbons, G. Opérateurs pseudo-différentiels et espaces de Besov. C.R. Acad. Sc. Paris 286 (1978), 895-897. | MR | Zbl

[33] Giraud, G. Equations à intégrales principales. Ann. Sc. ENS 51 (1934), 251-372. | MR | JFM | Zbl | EuDML | Numdam

[34] Hörmander, L. Pseudo-différential operators. Comm. Pure Appl. Math. 18 (1965), 501-517. | MR | Zbl | DOI

[35] Hörmander, L. Pseudo-differential operators and hypoelliptic equations. Proc. Symp. Pure Math. 10 (1966), 138-183. | MR | Zbl | DOI

[36] Hunt, R. On the convergence of Fourier series, orthogonal expansions and their continuous analogues (Proc. Conf. Edwardsvill, 111, 1967), Southern Illinois Univ. Press, Carbondalle, III. 1968. | MR | Zbl

[37] John, F. and Nirenberg, L. On functions of bounded mean oscillation. Comm. Pure Appl. Math. 14 (1961), 415-426. | Zbl | MR | DOI

[38] Kato, T. Boundedness of some pseudo-differential operators. Osaka J. Math. 13 (1976), 1-9. | MR | Zbl

[39] Kenig, C. E. and Tomas, P. E. Maximal operators defined by Fourier multipliers. Math. Dept., Univ. Chicago, III. | Zbl

[40] Knapp, A. W. and Stein, E. M. Intertwining operators on semi-simple Lie groups. Ann. Math. 93 (1971), 489-578. | MR | Zbl | DOI

[41] Kohn, J. J. and Nirenberg, L. An algebra of pseudo-differential operators. Comm. Pure Appl. Math. 18 (1965), 269-305. | MR | Zbl | DOI

[42] Kumano-Go, H. Algebras of pseudo-differential operators in $R^{n}$ . Proc. Japan Acad. 48 (1972), 402-407. | MR | Zbl | DOI

[43] Kumano-Go, H. Algebras of pseudo-differential operators. J. Fac. Sc. Univ. Tokyo 17 (1970), 31-50. | MR | Zbl

[44] Littlewood, J. and Paley, R. Theorems on Fourier series and power series (II). Proc. London Math. Soc. 42 (1937), 52-89. | MR | JFM | DOI

[45] Lorentz, G. G. Approximation of functions. Holt, Rinehart and Winston (1966). | MR | Zbl

[46] Marcinkiewicz, J. Multiplicateurs des séries de Fourier. Studia Math. 8 (1939), 78-91. | JFM | EuDML | DOI

[47] Meyer, Y. $L^{p}$ estimates for pseudo-differential operators. Report n° 1 (1977). Inst. Mittag-Leffier.

[48] Mossaheb, S. et Okada, M. Une classe d'opérateurs pseudo-différentiels. C.R. Acad. Sc. Paris 285 (1977), 613-616. | Zbl | MR

[49] Pommerenke, C. Shlichte Funktionen und B.M.O.A. Comm. Math. Helv., 1978. | MR

[50] Stein, E. M. Singular integrals and differentiability properties of functions. Princeton Univ. Press, Princeton, N.J. (1970). | MR | Zbl

[51] Unterberger, A. et Bokobza, J. Les opérateurs de Calderón-Zygmund précisés. C.R. Acad. Sc Paris 259 (1964), 1612-1614. | MR | Zbl

[52] Unterberger, A. et Bokobza, J. Sur une généralisation des opérateurs de Calderón-Zygmund et des espaces $H^{s}$ . C.R. Acad. Sc. Paris 260 (1965), 3265-3267. | MR | Zbl

[53] Zygmund, A. Intégrales singulières. Lecture Notes in Math. 204 (1971). | MR | Zbl

[54]Zygmund, A. Trigonometric series (2nd ed.). 2 vol., Cambridge (1959). | Zbl | MR

[55] Bony, J. M. Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires. Ann. Scient. E.N.S. 4ème série, 14 (1981), 209-246. | MR | Zbl | EuDML | Numdam

[56] Meyer, Y. Régularité des solutions des équations aux dérivées partielles non linéaires. Sém. Bourbaki 1979/1980, no. 560. | EuDML | Zbl | MR | Numdam

[57] Meyer, Y. Remarques sur un théorème de J. M. Bony. Supplemento ai Rendiconti del Circolo Matematico di Palermo. Atti del Seminario di Analisi Armonica, Pisa, 8-17 Aprile 1980, Serie II, no. 1, 1981. | MR | Zbl

[58] Coifman, R., Mcintosh, A. et Meyer, Y. L'intégrale de Cauchy définit un opérateur borné sur $L^{2}$ pour les courbes lipschitziennes. Ann. of Math. (à paraître). | MR | Zbl