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Journal of the London Mathematical Society (1)

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LOGARITHMIC VERSION OF INTERPOLATION INEQUALITIES FOR DERIVATIVES
AGNIESZKA KAŁAMAJSKA, KATARZYNA PIETRUSKA-PAŁUBA
Journal:

Journal of the London Mathematical Society / Volume 70 / Issue 3 / December 2004

Published online by Cambridge University Press:

03 December 2004, pp. 691-702

Print publication:

December 2004
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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.