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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$L^p$ 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

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