Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
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Tensorization of p-weak differentiable structures
Eriksson-Bique, Sylvester; Rajala, Tapio; Soultanis, Elefterios (Elsevier, 2024)We consider p-weak differentiable structures that were recently introduced in [9], and prove that the product of p-weak charts is a p-weak chart. This implies that the product of two spaces with a p-weak differentiable ... -
Sobolev, BV and perimeter extensions in metric measure spaces
Caputo, Emanuele; Koivu, Jesse; Rajala, Tapio (Suomen matemaattinen yhdistys, 2024)We study extensions of sets and functions in general metric measure spaces. We show that an open set has the strong BV-extension property if and only if it has the strong extension property for sets of finite perimeter. ... -
Approximation by uniform domains in doubling quasiconvex metric spaces
Rajala, Tapio (Springer, 2021)We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains. -
A new Cartan-type property and strict quasicoverings when P = 1 in metric spaces
Lahti, Panu (Suomalainen tiedeakatemia, 2018)In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we prove a new Cartan-type property for the fine topology in the case p = 1. Then we use this property to prove the ... -
Infinitesimal Hilbertianity of Locally CAT(κ)-Spaces
Di Marino, Simone; Gigli, Nicola; Pasqualetto, Enrico; Soultanis, Elefterios (Springer, 2021)We show that, given a metric space (Y,d)(Y,d) of curvature bounded from above in the sense of Alexandrov, and a positive Radon measure μμ on YY giving finite mass to bounded sets, the resulting metric measure space ...
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