Affiliation:
1. American College of Thessaloniki Pylaia Thessaloniki Greece
Abstract
AbstractThe Hilbert matrix has been extensively studied in the previous literature. In this paper, we look at generalized Hilbert operators arising from measures on the interval [0,1], such that the Hilbert matrix is obtained by the Lebesgue measure. We provide a necessary and sufficient condition for these operators to be bounded in and calculate their norm. Interestingly, we obtain complete results in this direction for both .
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1. Generalized Hilbert operators arising from Hausdorff matrices;Proceedings of the American Mathematical Society;2024-09-10