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March 1, 2025Hiroshima Mathematical JournalOpen Access

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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Cite This Study

Ando et al. (2025) studied this question.

synapsesocial.com/papers/6ab0c2bba37ea35f80b1f660 https://doi.org/10.32917/h2023016

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