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Proceedings of the American Mathematical Society

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Convolution with affine arclength measures
in the plane


Author: Daniel M. Oberlin
Journal: Proc. Amer. Math. Soc. 127 (1999), 3591-3592
MSC (1991): Primary 42B15
Published electronically: July 8, 1999
MathSciNet review: 1690999
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Abstract | References | Similar Articles | Additional Information

Abstract: We obtain an estimate for the $L^{3/2,1}(\mathbb R^2)-L^3(\mathbb R^2)$ norm of a certain convolution operator.


References [Enhancements On Off] (What's this?)

  • [C] Y. Choi, Convolution operators with affine arclength measures on plane curves, J. Korean Math. Soc. 36 (1999), 193-207. CMP 99:09
  • [D] S. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Cambridge Philos. Soc. 108 (1990), no. 1, 89–96. MR 1049762, 10.1017/S0305004100068973

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Additional Information

Daniel M. Oberlin
Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
Email: oberlin@math.fsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05462-3
Received by editor(s): February 16, 1998
Published electronically: July 8, 1999
Additional Notes: The author was partially supported by a grant from the National Science Foundation
Communicated by: Christopher D. Sogge
Article copyright: © Copyright 1999 American Mathematical Society