Skip Navigation

Journal of the London Mathematical Society 2004 70(1):244-260; doi:10.1112/S0024610704005459
© 2004 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
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
Google Scholar
Right arrow Articles by Bennewitz, C.
Right arrow Articles by Saito, Y.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

Approximation Numbers of Sobolev Embedding Operators on an Interval

Christer Bennewitz and Yoshimi Saito

Department of Mathematics, Lund University Box 118, 221 00, Sweden christer.bennewitz{at}math.lu.se
Department of Mathematics, University of Alabama Birmingham, AL 35 294, USA, saito{at}math.uab.edu

Received 9 July 2003.

Consider the Sobolev embedding operator from the space of functions in W1,p(I) with average zero into Lp, where I is a finite interval and p>1. This operator plays an important role in recent work. The operator norm and its approximation numbers in closed form are calculated. The closed form of the norm and approximation numbers of several similar Sobolev embedding operators on a finite interval have recently been found. It is proved in the paper that most of these operator norms and approximation numbers on a finite interval are the same.


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.