On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms
Analysis of PDEs
2023-12-13 v2
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.
Keywords
Cite
@article{arxiv.2306.08282,
title = {On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms},
author = {Hiroshi Ando and Toshio Horiuchi and Eiichi Nakai},
journal= {arXiv preprint arXiv:2306.08282},
year = {2023}
}