paper

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

arXiv:2306.08282

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.