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

Published 14 Jun 2023 in math.AP | (2306.08282v2)

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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