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Proceedings of the Japan Academy, Series A, Mathematical Sciences

Boundedness of singular integral operators of Calderón type

Takafumi Murai
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 59, Number 8 (1983), 364-367.
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Primary Subjects: 42B20
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1195515404
Mathematical Reviews number (MathSciNet): MR726524
Zentralblatt MATH identifier: 0542.42008
Digital Object Identifier: doi:10.3792/pjaa.59.364

References

[1] A. P. Calderon: Commutators of singular integral operators. Proc. Nat. Acad. Sci. USA, 53, 1092-1099 (1965).
Mathematical Reviews (MathSciNet): MR177312
Zentralblatt MATH: 0151.16901
Digital Object Identifier: doi:10.1073/pnas.53.5.1092
[2] A. P. Calderon: Cauchy integrals on Lipschitz curves and related operators, ibid., 74, 1324-1327 (1977).
Mathematical Reviews (MathSciNet): MR466568
Zentralblatt MATH: 0373.44003
Digital Object Identifier: doi:10.1073/pnas.74.4.1324
JSTOR: links.jstor.org
[3] R. R. Coif man and Y. Meyer: On commutators of singular integrals and bilinear singular integrals. Trans. Amer. Math. Soc, 212, 315-331 (1975).
Mathematical Reviews (MathSciNet): MR380244
Zentralblatt MATH: 0324.44005
Digital Object Identifier: doi:10.2307/1998628
[4] R. R. Coif man, G. David, and Y. Meyer: La solution des conjectures de Calderon. Adv. Math., 48, 144-148 (1983).
Mathematical Reviews (MathSciNet): MR700980
Zentralblatt MATH: 0518.42024
Digital Object Identifier: doi:10.1016/0001-8708(83)90084-1
[5] R. R. Coif man, A. Mcintosh, and Y. Meyer: L'integrate de Cauchy definit un operateur borne sur L2 pour les courbes lipschitziennes. Ann. Math., 116, 361-387 (1982).
Mathematical Reviews (MathSciNet): MR672839
Zentralblatt MATH: 0497.42012
Digital Object Identifier: doi:10.2307/2007065
JSTOR: links.jstor.org
[6] R. R. Coif man, A. Mcintosh, and Y. Meyer: Estimations L2 pour les noyaux singuliers. Conference on Harmonic Analysis in Honor of Antoni Zygmund. Wadworth, California, pp. 287-294 (1982).
Mathematical Reviews (MathSciNet): MR730073
Zentralblatt MATH: 0512.42020
[7] E. M. Stein: Singular Integrals and Differentiability Properties of Functions. Princeton Univ. Press (1970).
Mathematical Reviews (MathSciNet): MR290095
Zentralblatt MATH: 0207.13501

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Proceedings of the Japan Academy, Series A, Mathematical Sciences

Proceedings of the Japan Academy, Series A, Mathematical Sciences