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.
"Multiple Hilbert-type inequalities involving some differential operators." Banach J. Math. Anal. 10 (2) 320 - 337, April 2016. https://doi.org/10.1215/17358787-3495561