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arXiv · 2511.20978

The singular anisotropic Adams' type inequality in $\mathbb{R}^n$

Tao Zhang·Meixia Li·Fan Yang·Chunqin Zhou
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Abstract

In this paper, using anisotropic rearrangement techniques, we first establish the best constants for the singular anisotropic Adams' type inequality with exact growth in $\mathbb{R}^n$. Furthermore, by the same trick, we also prove the singular anisotropic Adams' type inequality on bounded domain $\Omega\subset \mathbb{R}^n$.

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Tao Zhang, Meixia Li, Fan Yang, Chunqin Zhou. 2025-11-26. The singular anisotropic Adams' type inequality in $\mathbb{R}^n$. https://arxiv.org/abs/2511.20978

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