Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.

• Weighted Hardy inequalities beyond Lipschitz domains 

  Lehrbäck, Juha (American Mathematical Society, 2014)

  It is a well-known fact that in a Lipschitz domain Ω ⊂ R n a p-Hardy inequality, with weight dist(x, ∂Ω)β , holds for all u ∈ C ∞0 (Ω) whenever β < p − 1. We show that actually the same is true under the sole assumption ...

• 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 ...

• On the BBM-Phenomenon in Fractional Poincaré–Sobolev Inequalities with Weights 

  Hurri-Syrjänen, Ritva; Martínez-Perales, Javier C.; Pérez, Carlos; Vähäkangas, Antti V. (Oxford University Press (OUP), 2023)

  In this paper, we unify and improve some of the results of Bourgain, Brezis, and Mironescu and the weighted Poincaré–Sobolev estimate by Fabes, Kenig, and Serapioni. More precisely, we get weighted counterparts of the ...

• Weighted norm inequalities in a bounded domain by the sparse domination method 

  Kurki, Emma-Karoliina; Vähäkangas, Antti V. (Springer, 2021)

  We prove a local two-weight Poincaré inequality for cubes using the sparse domination method that has been influential in harmonic analysis. The proof involves a localized version of the Fefferman–Stein inequality for the ...

• Accessible parts of boundary for simply connected domains 

  Koskela, Pekka; Nandi, Debanjan; Nicolau, Artur (American Mathematical Society, 2018)

  For a bounded simply connected domain Ω ⊂ R2, any point z ∈ Ω and any 0 < α < 1, we give a lower bound for the α-dimensional Hausdorff content of the set of points in the boundary of Ω which can be joined to z by a John ...