Some notes on the critical Hardy inequalities

Nguyen Tuan Duy ()
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Nguyen Tuan Duy: University of Finance-Marketing

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 4, 1154-1168

Abstract: 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.

Keywords: Critical Hardy inequalities; Bessel pair; Remainder term; Stability; 26D10; 46E35; 35A23 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00025-8

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