Hostname: page-component-84b7d79bbc-g78kv Total loading time: 0 Render date: 2024-07-29T21:34:18.029Z Has data issue: false hasContentIssue false

Convolution with Measures on Curves in ℝ3

Published online by Cambridge University Press:  20 November 2018

Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1998

References

[D] Drury, S. W., Degenerate curves and harmonic analysis. Math. Proc. Cambridge Philos. Soc. 108 (1990), 8996.Google Scholar
[O1] Oberlin, D., Convolution estimates for some measures on curves. Proc.Amer.Math. Soc. 99 (1987), 5660.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), 245250.Google Scholar
[P2] Pan, Y., Convolution estimates for some degenerate curves. Math. Proc. Cambridge Philos. Soc. 116 (1994), 143146.Google Scholar
[P3] Pan, Y., Lp-improving properties for some measures supported on curves. Math. Scand. 78 (1996), 121132.Google Scholar