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.
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Predrag Vuković (2024) studied this question.
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