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• Self-improvement of weighted pointwise inequalities on open sets 

  Eriksson-Bique, Sylvester; Lehrbäck, Juha; Vähäkangas, Antti V. (Elsevier BV, 2020)

  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 ...

• Generalized dimension distortion under Sobolev mappings 

  Zapadinskaya, Aleksandra (University of Jyväskylä, 2011)

• Maximal function estimates and self-improvement results for Poincaré inequalities 

  Kinnunen, Juha; Lehrbäck, Juha; Vähäkangas, Antti; Zhong, Xiao (Springer Berlin Heidelberg, 2019)

  Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, ...

• The Hajłasz Capacity Density Condition is Self-improving 

  Canto, Javier; Vähäkangas, Antti V. (Springer Science and Business Media LLC, 2022)

  We prove a self-improvement property of a capacity density condition for a nonlocal Hajłasz gradient in complete geodesic spaces with a doubling measure. The proof relates the capacity density condition with boundary ...

• Self-improvement of pointwise Hardy inequality 

  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.