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Maximal functions measuring smoothness : Counterexamples

Lokharu, E. E. LU (2012) In Journal of Mathematical Sciences (United States) 185(5). p.687-697
Abstract

We consider two main maximal operators measuring smoothness. For all possible values of the parameters, we give simple examples of bounded compactly supported functions that show quite clearly the difference between these maximal operators. Bibliography: 3 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 (United States)
volume
185
issue
5
pages
11 pages
publisher
Springer
external identifiers
  • scopus:84866941769
ISSN
1072-3374
DOI
10.1007/s10958-012-0952-7
language
English
LU publication?
no
id
8754b53d-0636-4636-86c8-6df5d5911fd8
date added to LUP
2023-11-03 13:24:31
date last changed
2023-12-04 17:31:25
@article{8754b53d-0636-4636-86c8-6df5d5911fd8,
  abstract     = {{<p>We consider two main maximal operators measuring smoothness. For all possible values of the parameters, we give simple examples of bounded compactly supported functions that show quite clearly the difference between these maximal operators. Bibliography: 3 titles.</p>}},
  author       = {{Lokharu, E. E.}},
  issn         = {{1072-3374}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{687--697}},
  publisher    = {{Springer}},
  series       = {{Journal of Mathematical Sciences (United States)}},
  title        = {{Maximal functions measuring smoothness : Counterexamples}},
  url          = {{http://dx.doi.org/10.1007/s10958-012-0952-7}},
  doi          = {{10.1007/s10958-012-0952-7}},
  volume       = {{185}},
  year         = {{2012}},
}