In this article, we derive several multidimensional Hilbert-type inequalities, including certain differential operators. Further, we determine the conditions under which the constants appearing on the right-hand sides of the established inequalities are the best possible. As an application, some particular examples are also studied.
Banach J. Math. Anal.
10(2):
320-337
(April 2016).
DOI: 10.1215/17358787-3495561