$L^p$ regularity of averaging operators with higher fold singularities
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- by Chan Woo Yang
- Proc. Amer. Math. Soc. 131 (2003), 455-465
- DOI: https://doi.org/10.1090/S0002-9939-02-06559-0
- Published electronically: June 5, 2002
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Abstract:
In this paper, we give a sharp $L^p$ regularity result of averaging operators along curves in the plane with two-sided $k-$fold singularities.References
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Bibliographic Information
- Chan Woo Yang
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- Email: cyang@math.wisc.edu
- Received by editor(s): May 21, 2001
- Received by editor(s) in revised form: September 11, 2001
- Published electronically: June 5, 2002
- Communicated by: Andreas Seeger
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 455-465
- MSC (2000): Primary 44A12; Secondary 35S30
- DOI: https://doi.org/10.1090/S0002-9939-02-06559-0
- MathSciNet review: 1933337