44 citations · 76 across the 14 of their papers we have counts for
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Two-sided boundary points of Sobolev-extension domains on Euclidean spaces
Miguel García-Bravo, Tapio Rajala, Jyrki Takanen
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 l…
Dimension estimates for the boundary of planar Sobolev extension domains
Danka Lučić, Tapio Rajala, Jyrki Takanen
We prove an asymptotically sharp dimension upper-bound for the boundary of bounded simply-connected planar Sobolev -extension domains via the weak mean porosity of the bou…
Upper Conical density results for general measures on
Marianna Csörnyei, Antti Käenmäki, Tapio Rajala +1
We study conical density properties of general Borel measures on Euclidean spaces. Our results are analogous to the previously known result on the upper density properties of Hausd…
Packing dimension and Ahlfors regularity of porous sets in metric spaces
Esa Järvenpää, Maarit Järvenpää, Antti Käenmäki +3
Let be a metric measure space with an -regular measure . We prove that if is -porous, then where $\dim_{\math…