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On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights in the case of $p=1$ (2512.21492v1)
Published 25 Dec 2025 in math.AP
Abstract: We study the Caffarelli-Kohn-Nirenberg type inequalities in the case of $p=1$ and generalize them adopting weight functions $w(|x|)$ on $Rn$ with $w(t)$ in ${W}(R_+)$. Here ${W}(R_+)$ is a general class of weight functions on $R_+$ including non-doubling weights like $e{1/t}$ and $e{-1/t}$.
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