Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Remarks on the degenerate Radon transform in $\mathbf {R}^{2}$
HTML articles powered by AMS MathViewer

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
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 44A12, 47G10
  • Retrieve articles in all journals with MSC (2000): 44A12, 47G10
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