The Journal of Geometric Analysis

, Volume 4, Issue 1, pp 105–120

On a stopping process for oscillatory integrals

Authors

  • D. H. Phong
    • Department of MathematicsColumbia University
    • Department of MathematicsPrinceton University
  • E. M. Stein
    • Department of MathematicsColumbia University
    • Department of MathematicsPrinceton University
Article

DOI: 10.1007/BF02921595

Cite this article as:
Phong, D.H. & Stein, E.M. J Geom Anal (1994) 4: 105. doi:10.1007/BF02921595

Abstract

In this paper we introduce a stopping process to analyze oscillatory integral operators with degenerate phases. The resulting bounds give smoothing properties for averages along variable families of curves inRn with two-sided torsion.

Math Subject Classification

42-xx42 B2042 B2535 Sxx

Key Words and Phrases

Degenerate phasesdyadic cubesRadon transformstorsion

Copyright information

© Mathematica Josephina, Inc. 1994