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Parametrices and estimates for the \(\bar \partial _b\) complex on strongly pseudoconvex boundaries. (English) Zbl 0294.35059


MSC:

35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs
35B45 A priori estimates in context of PDEs
35C15 Integral representations of solutions to PDEs
65H10 Numerical computation of solutions to systems of equations
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[1] Ronald R. Coifman and Guido Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Mathematics, Vol. 242, Springer-Verlag, Berlin-New York, 1971 (French). Étude de certaines intégrales singulières. · Zbl 0224.43006
[2] J. Dixmier, Sur les représentations unitaires des groupes de Lie nilpotents. II, Bull. Soc. Math. France 85 (1957), 325 – 388 (French). · Zbl 0085.10303
[3] G. B. Folland, A fundamental solution for a subelliptic operator, Bull. Amer. Math. Soc. 79 (1973), 373 – 376. · Zbl 0256.35020
[4] G. B. Folland and J. J. Kohn, The Neumann problem for the Cauchy-Riemann complex, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1972. Annals of Mathematics Studies, No. 75. · Zbl 0247.35093
[5] V. V. Grušin, A certain class of hypoelliptic operators, Mat. Sb. (N.S.) 83 (125) (1970), 456 – 473 (Russian).
[6] A. W. Knapp and E. M. Stein, Intertwining operators for semisimple groups, Ann. of Math. (2) 93 (1971), 489 – 578. · Zbl 0257.22015 · doi:10.2307/1970887
[7] A. Korányi and S. Vági, Singular integrals on homogeneous spaces and some problems of classical analysis, Ann. Scuola Norm. Sup. Pisa (3) 25 (1971), 575 – 648 (1972).
[8] E. M. Stein, Singular integrals and estimates for the Cauchy-Riemann equations, Bull. Amer. Math. Soc. 79 (1973), 440 – 445. · Zbl 0257.35040
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