Showing items with similar title or keywords.

• 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 ...

• 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.

• 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, ...

• Unique continuation property and Poincaré inequality for higher order fractional Laplacians with applications in inverse problems 

  Covi, Giovanni; Mönkkönen, Keijo; Railo, Jesse (American Institute of Mathematical Sciences (AIMS), 2021)

  We prove a unique continuation property for the fractional Laplacian (−Δ)s when s∈(−n/2,∞)∖Z where n≥1. In addition, we study Poincaré-type inequalities for the operator (−Δ)s when s≥0. We apply the results to show that ...