Ioku Norisuke, Ishiwata Michinori, Ozawa Tohru
Graduate School of Science and Engineering, Ehime University, Ehime, 790-8577 Japan.
Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, Osaka, 560-8531 Japan.
J Inequal Appl. 2017;2017(1):5. doi: 10.1186/s13660-016-1271-1. Epub 2017 Jan 3.
Sharp remainder terms are explicitly given on the standard Hardy inequalities in [Formula: see text] with [Formula: see text]. Those remainder terms provide a direct and exact understanding of Hardy type inequalities in the framework of equalities as well as of the nonexistence of nontrivial extremals.
对于(p\in(1,\infty))的(L^p)空间中的标准哈代不等式，明确给出了精确的余项。这些余项在等式框架下为哈代型不等式以及非平凡极值不存在性提供了直接且准确的理解。
