Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Di Marino, Simone; Lučić, Danka; Pasqualetto, Enrico (Institut de France, 2020)We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert. Our new approach relies upon ... -
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 ... -
Curvewise characterizations of minimal upper gradients and the construction of a Sobolev differential
Eriksson-Bique, Sylvester; Soultanis, Elefterios (Mathematical Sciences Publishers, 2024)We represent minimal upper gradients of Newtonian functions, in the range 1≤p<∞, by maximal directional derivatives along “generic” curves passing through a given point, using plan-modulus duality and disintegration ... -
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico (Springer, 2023)We prove that sub-Riemannian manifolds are infinitesimally Hilbertian (i.e., the associated Sobolev space is Hilbert) when equipped with an arbitrary Radon measure. The result follows from an embedding of metric derivations ... -
Testing the Sobolev property with a single test plan
Pasqualetto, Enrico (Institute of Mathematics, Polish Academy of Sciences, 2022)We prove that on an arbitrary metric measure space the following property holds: a single test plan can be used to recover the minimal weak upper gradient of any Sobolev function. This means that, in order to identify which ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.