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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
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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

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