Banach Journal of Mathematical Analysis

Multiple Hilbert-type inequalities involving some differential operators

Vandanjav Adiyasuren, Tserendorj Batbold, and Mario Krnić

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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.

Article information

Banach J. Math. Anal., Volume 10, Number 2 (2016), 320-337.

Received: 6 April 2015
Accepted: 10 June 2015
First available in Project Euclid: 4 April 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26D10: Inequalities involving derivatives and differential and integral operators
Secondary: 33B15: Gamma, beta and polygamma functions

Hilbert-type inequality Hardy inequality differential operator best constant


Adiyasuren, Vandanjav; Batbold, Tserendorj; Krnić, Mario. Multiple Hilbert-type inequalities involving some differential operators. Banach J. Math. Anal. 10 (2016), no. 2, 320--337. doi:10.1215/17358787-3495561.

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