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 ...

• Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces 

  García-Bravo, Miguel; Rajala, Tapio; Takanen, Jyrki (Springer, 2024)

  We prove an estimate on the Hausdorff dimension of the set of two-sided boundary points of general Sobolev extension domains on Euclidean spaces. We also present examples showing lower bounds on possible dimension estimates ...

• Dimension estimates for the boundary of planar Sobolev extension domains 

  Lučić, Danka; Rajala, Tapio; Takanen, Jyrki (Walter de Gruyter GmbH, 2023)

  We prove an asymptotically sharp dimension upper-bound for the boundary of bounded simply-connected planar Sobolev W1,pW1,p -extension domains via the weak mean porosity of the boundary. The sharpness of our estimate is ...

• Generalized dimension distortion under Sobolev mappings 

  Zapadinskaya, Aleksandra (University of Jyväskylä, 2011)

• Traces of weighted function spaces : Dyadic norms and Whitney extensions 

  Koskela, Pekka; Soto, Tomás; Wang, Zhuang (Springer, 2017)

  The trace spaces of Sobolev spaces and related fractional smoothness spaces have been an active area of research since the work of Nikolskii, Aronszajn, Slobodetskii, Babich and Gagliardo among others in the 1950’s. In ...