Muckenhoupt Ap-properties of Distance Functions and Applications to Hardy-Sobolev -type Inequalities
Dyda, B., Ihnatsyeva, L., Lehrbäck, J., Tuominen, H., & Vähäkangas, A. (2019). Muckenhoupt Ap-properties of Distance Functions and Applications to Hardy-Sobolev -type Inequalities. Potential Analysis, 50(1), 83-105. https://doi.org/10.1007/s11118-017-9674-2
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Lehrbäck, Juha (Birkhäuser, 2021)We consider applications of the dual pair of the (upper) Assouad dimension and the lower (Assouad) dimension in analysis. We relate these notions to other dimensional conditions such as a Hausdorff content density condition ...
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Lehrbäck, Juha (Hebrew University Magnes Press; Springer, 2017)We establish both sufficient and necessary conditions for weighted Hardy inequalities in metric spaces in terms of Assouad (co)dimensions. Our sufficient conditions in the case where the complement is thin are new, even ...
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