Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 33,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0

Comptes Rendus Mathématique
Volume 338, n° 1
pages 31-34 (janvier 2004)
Doi : 10.1016/j.crma.2003.11.005
Received : 15 August 2003 ;  accepted : 7 November 2003
La fonction maximale de Hardy-Littlewood sur une classe d'espaces métriques mesurables
The Hardy-Littlewood maximal function on some metric measure spaces

Hong-Quan  Li
Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, 53115 Bonn, Allemagne 


Dans cette Note, on se propose d'étudier le comportement de la fonction maximale de Hardy-Littlewood,  , sur l'espace cuspidale en termes de la croissance du volume de la base. En particulier, on montre que pour tout   fixé, il existe une variété sur laquelle l'opérateur   est borné sur   pour   mais pas pour  . Pour citer cet article : H.-Q. Li, C. R. Acad. Sci. Paris, Ser. I 338 (2004).


In this Note, we study the behavior of the Hardy-Littlewood maximal function   on cusp manifolds in terms of the growth of the volume of the base space. In particular, we prove that for all   fixed, there exists such a manifold on which   is bounded on   for   but not for  . To cite this article: H.-Q. Li, C. R. Acad. Sci. Paris, Ser. I 338 (2004).

© 2003  Académie des sciences@@#104156@@

EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline