Multiple Hilbert-type inequalities involving some differential operators

Vandanjav Adiyasuren; Tserendorj Batbold; Mario Krnić

doi:10.1215/17358787-3495561

April 2016 Multiple Hilbert-type inequalities involving some differential operators

Vandanjav Adiyasuren, Tserendorj Batbold, Mario Krnić

Banach J. Math. Anal. 10(2): 320-337 (April 2016). DOI: 10.1215/17358787-3495561

Abstract

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.

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Vandanjav Adiyasuren, Tserendorj Batbold, and Mario Krnić "Multiple Hilbert-type inequalities involving some differential operators," Banach Journal of Mathematical Analysis 10(2), 320-337, (April 2016). https://doi.org/10.1215/17358787-3495561

Received: 6 April 2015; Accepted: 10 June 2015; Published: April 2016

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