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- W2014621052 abstract "We prove variants of the classical Gagliardo-Nirenberg inequalities in both additive and multiplicative forms, with Orlicz norms replacing the usual L p norms. The N-functions involved satisfy certain consistency conditions. We also prove more general interpolation inequalities for derivatives, where the Orlicz norm of |∇u| is estimated by the Orlicz norms of expressions of the form Ψ(|u|, |∇ (2) u|)." @default.
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- W2014621052 date "2006-01-01" @default.
- W2014621052 modified "2023-09-29" @default.
- W2014621052 title "Interpolation inequalities for derivatives in Orlicz spaces" @default.
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- W2014621052 doi "https://doi.org/10.1512/iumj.2006.55.2825" @default.
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