$L^p$ estimates for operators associated to oscillating plane curves

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$L^p$ estimates for operators associated to oscillating plane curves

James Wright

Source: Duke Math. J. Volume 67, Number 1 (1992), 101-157.

First Page: Show

Primary Subjects: 42B20

Secondary Subjects: 42B25

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077294273
Mathematical Reviews number (MathSciNet): MR1174604
Zentralblatt MATH identifier: 0766.42010
Digital Object Identifier: doi:10.1215/S0012-7094-92-06705-6

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References

[CCVWW] A. Carbery, M. Christ, J. Vance, S. Wainger, and D. K. Watson, Operators associated to flat plane curves: $L\sp p$ estimates via dilation methods, Duke Math. J. 59 (1989), no. 3, 675–700.

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[CCC] H. Carlsson, M. Christ, A. Cordoba, J. Duoandikoetxea, J. L. Rubio de Francia, J. Vance, S. Wainger, and D. Weinberg, $L\sp p$ estimates for maximal functions and Hilbert transforms along flat convex curves in $\bf R\sp 2$, Bull. Amer. Math. Soc. (N.S.) 14 (1986), no. 2, 263–267.

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[NVWW2] A. Nagel, J. Vance, S. Wainger, and D. Weinberg, Maximal functions for convex curves, Duke Math. J. 52 (1985), no. 3, 715–722.

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