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Boundedness of singular integral operators of Calderón type, VI

Published online by Cambridge University Press:  22 January 2016

Takafumi Murai
Takafumi Murai*
Affiliation:
Department of Mathematics, College of General Education Nagoya University, Chikusa-ku, Nagoya, 464, Japan
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In this paper, we improve an inequality given in [3]. Let Lp (1 ≦ p ≦ ∞) and BMO denote the Lp space and the BMO space on the real line. Their norms are denoted by ‖ · ‖p and ‖ · ‖BMO, respectively.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 102 , June 1986 , pp. 127 - 133
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

[ 1 ] Journé, J. L., Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón, Lecture Notes in Math., 994, Springer, 1983.CrossRefGoogle Scholar
[ 2 ] Hunt, R. A., An estimate of the conjugate function, Studia Math., 44 (1972), 371–377.CrossRefGoogle Scholar
[ 3 ] Murai, T., Boundedness of singular integral operators of Calderón type (V), Adv. in Math., 59 (1986), 71–81.CrossRefGoogle Scholar
[ 4 ] Murai, T., A survey of commutators, Res. Bull. Ser. B, Coll. of Gen. Ed. Nagoya Univ., 29 (1985), 1–15.Google Scholar
[ 5 ] Tchamitchian, P., La norme de l’opérateur de Cauchy sur les courbes lipschitziennes, in preparation.Google Scholar