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Some notes on the critical Hardy inequalities

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Abstract

In this paper, we study the critical Hardy inequalities with Bessel pairs with exact remainder terms and their applications. We then establish the relations between the critical Hardy inequalities and the subcritical Hardy inequalities on higher dimensional spaces. We also set up some Hardy identities that can be used to deduce the critical Hardy equality via a limiting process.

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  1. Faculty of Economics and Law, University of Finance-Marketing, 778 Nguyen Kiem St., District, Phu Nhuan, Ho Chi Minh City, Viet Nam

    Nguyen Tuan Duy

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  1. Nguyen Tuan Duy
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Communicated by K Sandeep.

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Duy, N.T. Some notes on the critical Hardy inequalities. Indian J Pure Appl Math 52, 1154–1168 (2021). https://doi.org/10.1007/s13226-021-00025-8

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