Gagliardo-Nirenberg inequality for maximal functions measuring smoothness
(2012) In Journal of Mathematical Sciences 182(5). p.663-673- Abstract
We prove a Galiardo-Nirenberg type pointwise interpolation inequality for special maximal functions which measure smoothness in the multidimensional case. It turns out that the classsical inequality follows from this one; it is also possible to use naturally BMO norms in the inequality. Bibliography: 6 titles.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/026f73e0-164a-4f63-b039-aa6532a36c88
- author
- Lokharu, E. LU
- publishing date
- 2012-05
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Sciences
- volume
- 182
- issue
- 5
- pages
- 11 pages
- publisher
- Springer
- external identifiers
-
- scopus:84860355831
- ISSN
- 1072-3374
- DOI
- 10.1007/s10958-012-0771-x
- language
- English
- LU publication?
- no
- id
- 026f73e0-164a-4f63-b039-aa6532a36c88
- date added to LUP
- 2023-11-03 13:24:53
- date last changed
- 2023-12-04 17:29:22
@article{026f73e0-164a-4f63-b039-aa6532a36c88, abstract = {{<p>We prove a Galiardo-Nirenberg type pointwise interpolation inequality for special maximal functions which measure smoothness in the multidimensional case. It turns out that the classsical inequality follows from this one; it is also possible to use naturally BMO norms in the inequality. Bibliography: 6 titles.</p>}}, author = {{Lokharu, E.}}, issn = {{1072-3374}}, language = {{eng}}, number = {{5}}, pages = {{663--673}}, publisher = {{Springer}}, series = {{Journal of Mathematical Sciences}}, title = {{Gagliardo-Nirenberg inequality for maximal functions measuring smoothness}}, url = {{http://dx.doi.org/10.1007/s10958-012-0771-x}}, doi = {{10.1007/s10958-012-0771-x}}, volume = {{182}}, year = {{2012}}, }