Series expansion of Leray-Trudinger inequality

Sun Xiaomei; Yu Kaixiang; Zhu Anqiang

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Series expansion of Leray-Trudinger inequality

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In this paper, we establish an infinite series expansion of Leray-Trudinger inequality, which is closely related with Hardy inequality and Moser Trudinger inequality. Our result extends early results obtained by Mallick and Tintarev A. Mallick and C. Tintarev. An improved Leray-Trudinger inequality. Commun. Contemp. Math. 20 (2018), 17501034. OP 21 to the case with many logs. It should be pointed out that our result is about series expansion of Hardy inequality under the case p = n, which case is not considered by Gkikas and Psaradakis in K. T. Gkikas and G. Psaradakis. Optimal non-homogeneous improvements for the series expansion of Hardy's inequality. Commun. Contemp. Math. doi:10.1142/S0219199721500310. However, we can't obtain the optimal form by our method.

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《Proceedings of the Royal Society of Edinburgh, Section A. Mathematics》 |2023年第1期|262-274|共13页
作者
Sun Xiaomei; Yu Kaixiang; Zhu Anqiang;
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作者单位

Huazhong Agr Univ;

Wuhan Univ;

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原文格式 PDF
正文语种英语
中图分类数学;
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Leray-Trudinger inequality; series expansion; improved Hardy inequality; MOSER TYPE INEQUALITY; HARDY INEQUALITIES; UNBOUNDED-DOMAINS;

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Series expansion of Leray-Trudinger inequality

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