A1 Journal article (refereed)
Self-improvement of pointwise Hardy inequality (2019)

Eriksson-Bique, S., & Vähäkangas, A. V. (2019). Self-improvement of pointwise Hardy inequality. Transactions of the American Mathematical Society, 372(3), 2235-2250. https://doi.org/10.1090/tran/7826

JYU authors or editors

Publication details

All authors or editors: Eriksson-Bique, Sylvester; Vähäkangas, Antti V.

Journal or series: Transactions of the American Mathematical Society

ISSN: 0002-9947

eISSN: 1088-6850

Publication year: 2019

Volume: 372

Issue number: 3

Pages range: 2235-2250

Publisher: American Mathematical Society

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1090/tran/7826

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/77394

Web address of parallel published publication (pre-print): https://arxiv.org/abs/1810.07614

Abstract

We prove the self-improvement of a pointwise p-Hardy inequality. The proof relies on maximal function techniques and a characterization of the inequality by curves.

Keywords: potential theory; partial differential equations; inequalities (mathematics); metric spaces

Free keywords: self-improvement; pointwise Hardy inequality; uniform fatness; metric space

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 2