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arXiv · 2606.22583

Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives

Diego Maldonado·Javier Soria
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Abstract

We prove a family of anisotropic Caffarelli-Kohn-Nirenberg interpolation inequalities involving higher-order fractional derivatives and weights of the form $|x'|^{\theta_1}|x|^{\theta_2}|x_n|^{\theta_3}$.

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Diego Maldonado, Javier Soria. 2026-06-21. Anisotropic Caffarelli-Kohn-Nirenberg inequalities with higher-order fractional derivatives. https://arxiv.org/abs/2606.22583

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