Remarks on the degenerate Radon transform in $\mathbf {R}^{2}$
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- by Sang Hyuk Lee PDF
- Proc. Amer. Math. Soc. 129 (2001), 3373-3378 Request permission
Abstract:
The aim of this note is to prove endpoint boundedness of the generalized Radon transform which was introduced by Phong and Stein. M. Christ’s combinatorial method is used to obtain restricted weak type at the endpoints. Also we show that the results of this note are essentially optimal.References
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Additional Information
- Sang Hyuk Lee
- Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Korea
- Email: huk@euclid.postech.ac.kr
- Received by editor(s): July 2, 1999
- Received by editor(s) in revised form: April 3, 2000
- Published electronically: April 25, 2001
- Additional Notes: The author was supported in part by KOSEF grant no. 1999-2-102-003-5 and BK21 Project.
- Communicated by: Christopher D. Sogge
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3373-3378
- MSC (2000): Primary 44A12; Secondary 47G10
- DOI: https://doi.org/10.1090/S0002-9939-01-05956-1
- MathSciNet review: 1845015