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$L^p$ regularity of averaging operators with higher fold singularities

Author(s): Chan Woo Yang
Journal: Proc. Amer. Math. Soc. 131 (2003), 455-465.
MSC (2000): Primary 44A12; Secondary 35S30
Posted: 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.

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Additional Information:

Chan Woo Yang
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: cyang@math.wisc.edu

DOI: 10.1090/S0002-9939-02-06559-0
PII: S 0002-9939(02)06559-0
Keywords: Radon transform, $k-$fold singularity, nonisotropic ball
Received by editor(s): May 21, 2001
Received by editor(s) in revised form: September 11, 2001
Posted: June 5, 2002
Communicated by: Andreas Seeger
Copyright of article: Copyright 2002, American Mathematical Society

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