A new Hilbert-type inequalities obtained via Cantor-type spherical coordinates

In this paper, we introduce a class of Hilbert-type inequalities on a fractal set [Formula: see text]. Establishing higher-dimensional Cantor-type spherical coordinates is an essential step in our results. We also impose the corresponding requirements that lead to the best constants obtained in the fractal Hilbert-type inequalities. Our results are applied by comparing them with previous results that are well known from the literature.