Self-improvement of weighted pointwise inequalities on open sets
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
Published inJournal of Functional Analysis
DisciplineMatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)
Embargoed until: 2022-10-15Request copy from author
© 2020 Elsevier Inc. All rights reserved.
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.
Publication in research information system
MetadataShow full item record
Additional information about fundingSylvester Eriksson-Bique was partially supported by the National Science Foundation [grant number DMS#-1704215].
Showing items with similar title or keywords.
Lehrbäck, Juha (American Mathematical Society, 2014)It is a well-known fact that in a Lipschitz domain Ω ⊂ R n a p-Hardy inequality, with weight dist(x, ∂Ω)β , holds for all u ∈ C ∞0 (Ω) whenever β < p − 1. We show that actually the same is true under the sole assumption ...
Eriksson-Bique, Sylvester; Vähäkangas, Antti V. (American Mathematical Society, 2019)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.
Männistö, Hanna (2014)
Hentunen, Tuomas (2014)
Lehrbäck, Juha (University of Jyväskylä, 2008)