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Radon transforms and finite type conditions

Author: Andreas Seeger
Journal: J. Amer. Math. Soc. 11 (1998), 869-897
MSC (1991): Primary 35S30; Secondary 47G10, 32F40, 44A12
MathSciNet review: 1623430
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Abstract: We prove regularity of Radon type integral operators in $L^{p}$-Sobolev spaces.

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Additional Information

Andreas Seeger
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706

Keywords: Averaging operators, Radon transforms, finite type conditions
Received by editor(s): October 28, 1997
Additional Notes: The author’s research was supported in part by an NSF grant.
Article copyright: © Copyright 1998 American Mathematical Society

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