Local and non-local improved Hardy inequalities with weights
type: Item
instance of: scholarly article
title: Local and non-local improved Hardy inequalities with weights
zbMATH Open document ID: 1500.35006
DOI: 10.4171/RLM/974
author: Anna Canale
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2022-10-17T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 7602452
zbMATH Keywords: improved Hardy inequality
zbMATH Keywords: weight functions
zbMATH Keywords: Kolmogorov operators
zbMATH Keywords: singular potentials
zbMATH Keywords: evolution problems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7602452