Skip Navigation

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnm154, 18 pages, doi:10.1093/imrn/rnm154 published on February 6, 2008
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Marzo, J.
Right arrow Articles by Ortega-Cerdà, J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

Equivalent norms for polynomials on the sphere

Jordi Marzo and Joaquim Ortega-Cerdà1

1 Departament de Matemàtica Aplicada i Anàlisi Universitat de Barcelona, Gran via 585, 08071 Barcelona, Spain

Correspondence: Correspondence to be sent to: jmarzo{at}mat.ub.es

We find necessary and sufficient conditions for a sequence of sets EL sub §d in order to obtain the inequality


Formula

where 1 <= p < +{infty}, QL is any polynomial of degree smaller or equal than L, µ is a doubling measure, and the constant Cp is independent of L. From this description, it follows an uncertainty principle for functions in L2(§d). We also consider weighted uniform versions of this result.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.