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LOGARITHMIC VERSION OF INTERPOLATION INEQUALITIES FOR DERIVATIVES

Published online by Cambridge University Press:  03 December 2004

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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

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