Skip to Main Content

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.

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.

 

An endpoint estimate for the discrete spherical maximal function
HTML articles powered by AMS MathViewer

by Alexandru D. Ionescu
Proc. Amer. Math. Soc. 132 (2004), 1411-1417
DOI: https://doi.org/10.1090/S0002-9939-03-07207-1
Published electronically: August 20, 2003

Abstract:

We prove that the discrete spherical maximal function extends to a bounded operator from $L^{d/(d-2),1}(\mathbb {Z}^d)$ to $L^{d/(d-2),\infty }(\mathbb {Z}^d)$ in dimensions $d\geq 5$. This is an endpoint estimate for a recent theorem of Magyar, Stein and Wainger.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42B25
  • Retrieve articles in all journals with MSC (2000): 42B25
Bibliographic Information
  • Alexandru D. Ionescu
  • Affiliation: Department of Mathematics, University of Wisconsin at Madison, Madison, Wisconsin 53706
  • MR Author ID: 660963
  • Email: ionescu@math.wisc.edu
  • Received by editor(s): November 11, 2002
  • Received by editor(s) in revised form: December 31, 2002
  • Published electronically: August 20, 2003
  • Additional Notes: The author was supported in part by the National Science Foundation under NSF Grant No. 0100021
  • Communicated by: Andreas Seeger
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1411-1417
  • MSC (2000): Primary 42B25
  • DOI: https://doi.org/10.1090/S0002-9939-03-07207-1
  • MathSciNet review: 2053347