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Convolution with Measures on Curves in ℝ3

Published online by Cambridge University Press:  20 November 2018

Daniel M. Oberlin
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Abstract

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We study convolution properties ofmeasures on the curves $({{t}^{{{a}_{1}}}},{{t}^{{{a}_{2}}}},{{t}^{{{a}_{3}}}})$ in ${{\mathbb{R}}^{3}}$.

Keywords

42B1542B20
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 4 , 01 December 1998 , pp. 478 - 480
Copyright
Copyright © Canadian Mathematical Society 1998

References

[D] Drury, S. W., Degenerate curves and harmonic analysis. Math. Proc. Cambridge Philos. Soc. 108 (1990), 89–96.Google Scholar
[O1] Oberlin, D., Convolution estimates for some measures on curves. Proc.Amer.Math. Soc. 99 (1987), 56–60.Google Scholar
[O2] Oberlin, D., A convolution estimate for a measure on a curve in R4. Proc. Amer.Math. Soc., to appear.Google Scholar
[P1] Pan, Y., A remark on convolution with measures supported on curves. Canad.Math. Bull. 36 (1993), 245–250.Google Scholar
[P2] Pan, Y., Convolution estimates for some degenerate curves. Math. Proc. Cambridge Philos. Soc. 116 (1994), 143–146.Google Scholar
[P3] Pan, Y., Lp-improving properties for some measures supported on curves. Math. Scand. 78 (1996), 121–132.Google Scholar