Approximation numbers of Sobolev embedding operators on an interval
(2004) In Journal of the London Mathematical Society 70. p.244-260- Abstract
- Consider the Sobolev embedding operator from the space of functions in W-1,W-p(I) with average zero into L-p, 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/268437
- author
- Bennewitz, Christer LU and Saito, Y
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the London Mathematical Society
- volume
- 70
- pages
- 244 - 260
- publisher
- Oxford University Press
- external identifiers
-
- wos:000223566300013
- scopus:4344637666
- ISSN
- 0024-6107
- DOI
- 10.1112/S0024610704005459
- language
- English
- LU publication?
- yes
- id
- 8b92b786-89c8-4ae6-9c37-81315e947ad4 (old id 268437)
- date added to LUP
- 2016-04-01 11:54:27
- date last changed
- 2022-01-26 19:59:28
@article{8b92b786-89c8-4ae6-9c37-81315e947ad4, abstract = {{Consider the Sobolev embedding operator from the space of functions in W-1,W-p(I) with average zero into L-p, 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.}}, author = {{Bennewitz, Christer and Saito, Y}}, issn = {{0024-6107}}, language = {{eng}}, pages = {{244--260}}, publisher = {{Oxford University Press}}, series = {{Journal of the London Mathematical Society}}, title = {{Approximation numbers of Sobolev embedding operators on an interval}}, url = {{http://dx.doi.org/10.1112/S0024610704005459}}, doi = {{10.1112/S0024610704005459}}, volume = {{70}}, year = {{2004}}, }