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Gagliardo-Nirenberg inequality for maximal functions measuring smoothness

Lokharu, E. LU (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:
author
publishing date
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}},
}