Showing items with similar title or keywords.

• Assouad Dimension, Nagata Dimension, and Uniformly Close Metric Tangents 

  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 ...

• Assouad Type Dimensions in Geometric Analysis 

  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 ...

• Hardy inequalities and Assouad dimensions 

  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 ...

• Sharp capacity estimates for annuli in weighted R^n and in metric spaces 

  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 ...

• The annular decay property and capacity estimates for thin annuli 

  Björn, Anders; Björn, Jana; Lehrbäck, Juha (Springer Italia Srl; Universitat de Barcelona, 2017)