Local and non-local improved Hardy inequalities with weights

被引：0
作者：
Canale A. [1 ]
机构：
[1] Dipartimento di Ingegneria dell’Informazione ed Elettrica e Matematica Applicata (DIEM), Università degli Studi di Salerno, Via Giovanni Paolo II, 132, SA, Fisciano
来源：
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni | 2022年 / 33卷 / 02期
关键词：
evolution problems; Improved Hardy inequality; Kolmogorov operators; singular potentials; weight functions;
D O I：
10.4171/RLM/974
中图分类号：
学科分类号：
摘要：
The main result in this paper is an improved Hardy inequality for functions in weighted Sobolev spaces, for a class of potentials that perturbs the inverse square potentials and for weight functions satisfying the Hölder condition. As a consequence, we derive some local improved Hardy inequalities. An application to evolution problems with Kolmogorov operators is shown. © 2022 Accademia Nazionale dei Lincei.
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页码：385 / 398
页数：13
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