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Improved interpolation inequalities and stability

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Fig. 2. The admissible range for d = 1, 2, 3 (first line), and d = 4, 5 and 10 (from left to right), as it is deduced from Lemma 13 using (16): the curves p 7→ m ± (p) enclose the  admis-sible range of the exponent m.

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