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
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Journal of Functional AnalysisDate
2020Discipline
MatematiikkaAnalyysin ja dynamiikan tutkimuksen huippuyksikköMathematicsAnalysis and Dynamics Research (Centre of Excellence)Copyright
© 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.
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Elsevier BVISSN Search the Publication Forum
0022-1236Keywords
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http://dx.doi.org/10.1016/j.jfa.2020.108691Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/36039308
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Additional information about funding
Sylvester Eriksson-Bique was partially supported by the National Science Foundation [grant number DMS#-1704215].License
Except where otherwise noted, this item's license is described as CC BY-NC-ND 4.0