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arXiv · 2306.08282

On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms

Hiroshi Ando·Toshio Horiuchi·Eiichi Nakai
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Abstract

We establish the Caffarelli-Kohn-Nirenberg type inequalities involving{ super-logarithms (infinitely iterated logarithms).} As a result the critical Caffarelli-Kohn-Nirenberg type inequalities will be improved, and in certain cases the best constants will be discovered.

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Hiroshi Ando, Toshio Horiuchi, Eiichi Nakai. 2023-06-14. On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms. https://arxiv.org/abs/2306.08282

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