Mathematical Research Letters

Volume 5, Issue 4, July 1998 pp. 535-539.

Averages over curves with torsion

Authors: Daniel Oberlin, Hart F. Smith, and Christopher D. Sogge
Author institution: Florida State University, University of Washington, and Johns Hopkins University

Summary: We establish $L^p$ Sobolev mapping properties for averages over certain curves in ${\Bbb R}^3$, which improve upon the estimates obtained by $L^2-L^\infty$ interpolation.

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