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.

 

A counterexample to a weak-type estimate for potential spaces and tangential approach regions
HTML articles powered by AMS MathViewer

by Javier Soria and Olof Svensson PDF
Proc. Amer. Math. Soc. 133 (2005), 1093-1099 Request permission

Abstract:

We show that for every potential space $L^{1}_{K}(\mathbb {R}^{n})$, there exists an approach region for which the associated maximal function is of weak-type, but the boundedness for the completed region is false, which is in contrast with the nontangential case.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42B25, 42B20
  • Retrieve articles in all journals with MSC (2000): 42B25, 42B20
Additional Information
  • Javier Soria
  • Affiliation: Department of Applied Mathematics and Analysis, University of Barcelona, E-08071 Barcelona, Spain
  • Email: soria@mat.ub.es
  • Olof Svensson
  • Affiliation: Department of Science and Technology, Campus Norrköping, Linköping University, SE-601 74 Norrköpingweden, Sweden
  • Email: olosv@itn.liu.se
  • Received by editor(s): June 7, 2003
  • Received by editor(s) in revised form: November 26, 2003
  • Published electronically: September 16, 2004
  • Additional Notes: The research of the first author was partially supported by Grants BFM2001-3395 and 2001SGR00069.
  • Communicated by: Andreas Seeger
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1093-1099
  • MSC (2000): Primary 42B25, 42B20
  • DOI: https://doi.org/10.1090/S0002-9939-04-07621-X
  • MathSciNet review: 2117210