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 editors: Eriksson-Bique, Sylvester; Lehrbäck, Juha; Vähäkangas, Antti V.

Journal or series: Journal of Functional Analysis

ISSN: 0022-1236

eISSN: 1096-0783

Publication year: 2020

Volume: 279

Article number: 108691

Publisher: Elsevier BV

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1016/j.jfa.2020.108691

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

Publication open access: Not 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

Abstract

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 keywords: self-improvement; pointwise Hardy inequality; metric space; weight; maximal operator

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 2