Hostname: page-component-848d4c4894-p2v8j Total loading time: 0 Render date: 2024-05-06T09:07:28.252Z Has data issue: false hasContentIssue false
  • English
  • Français

A Remark on Convolution With Measures Supported on Curves

Published online by Cambridge University Press:  20 November 2018

Yibiao Pan
Yibiao Pan*
Affiliation:
Department of Mathematics and Statistics University of Pittsburgh Pittsburgh, Pennsylvania 15260 U.S.A.
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.

Let λ be a certain measure supported on a curve in R3. We prove that if the curve has nonzero curvature and torsion, then λ * L3/2 ⊂ L2.

Keywords

43A22
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993 , pp. 245 - 250
Copyright
Copyright © Canadian Mathematical Society 1993

References

1. Oberlin, D., Convolution estimates for some measures on curves, Proc. Amer. Math. Soc. 99(1987), 56–60.Google Scholar
2. Stein, E. M., Interpolation of linear operators, Trans. Amer. Math. Soc. 87(1958), 159–172.Google Scholar
3. Zygmund, A., Trigonometric series, Cambridge Univ. Press, Cambridge, 1959.Google Scholar