A1 Journal article (refereed)
Weighted norm inequalities in a bounded domain by the sparse domination method (2021)

Kurki, E.-K., & Vähäkangas, A. V. (2021). Weighted norm inequalities in a bounded domain by the sparse domination method. Revista Matemática Complutense, 34(2), 435-467. https://doi.org/10.1007/s13163-020-00358-8

JYU authors or editors

Publication details

All authors or editorsKurki, Emma-Karoliina; Vähäkangas, Antti V.

Journal or seriesRevista Matemática Complutense



Publication year2021


Issue number2

Pages range435-467


Publication countrySpain

Publication languageEnglish


Publication open accessOpenly available

Publication channel open accessPartially open access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/69810

Publication is parallel publishedhttps://arxiv.org/abs/1910.06839


We prove a local two-weight Poincaré inequality for cubes using the sparse domination method that has been influential in harmonic analysis. The proof involves a localized version of the Fefferman–Stein inequality for the sharp maximal function. By establishing a local-to-global result in a bounded domain satisfying a Boman chain condition, we show a two-weight p-Poincaré inequality in such domains. As an application we show that certain nonnegative supersolutions of the p-Laplace equation and distance weights are p-admissible in a bounded domain, in the sense that they support versions of the p-Poincaré inequality

Keywordspartial differential equationsharmonic analysis (mathematics)inequalities (mathematics)

Contributing organizations

Ministry reportingYes

Reporting Year2021

JUFO rating1

Last updated on 2024-22-04 at 18:14