A1 Journal article (refereed)
Self-improvement of weighted pointwise inequalities on open sets (2020)

Eriksson-Bique, S., Lehrbäck, J., & Vähäkangas, A. V. (2020). Self-improvement of weighted pointwise inequalities on open sets. Journal of Functional Analysis, 279, Article 108691. https://doi.org/10.1016/j.jfa.2020.108691

JYU authors or editors

Publication details

All authors or editorsEriksson-Bique, Sylvester; Lehrbäck, Juha; Vähäkangas, Antti V.

Journal or seriesJournal of Functional Analysis



Publication year2020


Article number108691

PublisherElsevier BV

Publication countryUnited States

Publication languageEnglish


Persistent website addresshttp://dx.doi.org/10.1016/j.jfa.2020.108691

Publication open accessNot open

Publication channel open access

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/71007

Web address of parallel published publication (pre-print)https://arxiv.org/abs/2002.11520


We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this purpose we introduce and study the classes of p-Poincaré and p-Hardy weights for an open set Ω⊂X, where X is a metric measure space. We also apply the self-improvement of weighted pointwise Hardy inequalities in connection with usual integral versions of Hardy inequalities.

Free keywordsself-improvement; pointwise Hardy inequality; metric space; weight; maximal operator

Contributing organizations

Ministry reportingYes

Reporting Year2020

JUFO rating2

Last updated on 2024-03-04 at 22:06