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
Published inPotential Analysis
© 2018 Springer
Publication in research information system
MetadataShow full item record
Showing items with similar title or keywords.
Le Donne, Enrico; Rajala, Tapio (Indiana University, 2015)We study the Assouad dimension and the Nagata dimension of metric spaces. As a general result, we prove that the Nagata dimension of a metric space is always bounded from above by the Assouad dimension. Most of the paper ...
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 ...
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 ...
Björn, Anders; Björn, Jana; Lehrbäck, Juha (Springer Berlin Heidelberg, 2017)We obtain estimates for the nonlinear variational capacity of annuli in weighted Rn and in metric spaces. We introduce four different (pointwise) exponent sets, show that they all play fundamental roles for capacity ...
Lahti, Panu (Suomalainen tiedeakatemia, 2018)In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we prove a new Cartan-type property for the fine topology in the case p = 1. Then we use this property to prove the ...