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Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario

Multiple Hilbert-type inequalities involving some differential operators. (English) Zbl 1337.26027

Banach J. Math. Anal. 10, No. 2, 320-337 (2016).
Summary: 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.

Cited in 31 Documents

MSC:

26D10 Inequalities involving derivatives and differential and integral operators

Keywords:

Hilbert-type inequality; Hardy inequality; differential operator; best constant
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Full Text: DOI Euclid

References:

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