Abstract
We give an alternative first order proof of the improved discrete Hardy inequality recently found by Keller, Pinchover, and Pogorzelski.
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Research of the author is partially supported by the Provincial HEI and NSF grants of Jiangsu (Nos. 17KJD110005 and BK20180725) and the National NSF grant of China (No. 11801274). The author would like to thank Prof. Yanqi Qiu (AMSS) and Prof. Xueping Huang (NUIST) for enjoyable and helpful communications on the \(\overline{\partial }\)-operator and Dirichlet forms. The author would also like to sincerely thank the referee for a kind explanation on the failure of the discrete product rule.
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Huang, Y.C. A first order proof of the improved discrete Hardy inequality. Arch. Math. 117, 671–674 (2021). https://doi.org/10.1007/s00013-021-01653-6
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DOI: https://doi.org/10.1007/s00013-021-01653-6