Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-12T22:54:32.682Z Has data issue: false hasContentIssue false
  • English
  • Français

LOGARITHMIC VERSION OF INTERPOLATION INEQUALITIES FOR DERIVATIVES

Published online by Cambridge University Press:  03 December 2004

AGNIESZKA KAŁAMAJSKA  and
KATARZYNA PIETRUSKA-PAŁUBA
AGNIESZKA KAŁAMAJSKA
Affiliation:
Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Polandkalamajs@mimuw.edu.pl, kpp@mimuw.edu.placute Current address: Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-950 Warszawa, Poland
KATARZYNA PIETRUSKA-PAŁUBA
Affiliation:
Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Polandkalamajs@mimuw.edu.pl, kpp@mimuw.edu.placute
Get access

Abstract

A version of interpolation inequalities for derivatives in logarithmic Orlicz spaces is obtained where the first gradient of $u$ is estimated in terms of $u$ and its second gradient. One of the Orlicz functions considered is supposed to be ${\backslash\lambda^p}$. The motivation, examples and applications are discussed.

Keywords

26D10 (primary)46E3554C3035A25 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 691 - 702
Copyright
The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)