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LOGARITHMIC VERSION OF INTERPOLATION INEQUALITIES FOR DERIVATIVES
Published online by Cambridge University Press: 03 December 2004
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.
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- The London Mathematical Society 2004
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