[HTML][HTML] Characterizing Sobolev spaces of vector-valued functions
We are concerned here with Sobolev-type spaces of vector-valued functions. For an open
subset Ω⊂ RN and a Banach space V, we characterize the functions in the Sobolev …
subset Ω⊂ RN and a Banach space V, we characterize the functions in the Sobolev …
An approach to metric space-valued Sobolev maps via weak* derivatives
We give a characterization of metric space-valued Sobolev maps in terms of weak*
derivatives. More precisely, we show that Sobolev maps with values in dual-to-separable …
derivatives. More precisely, we show that Sobolev maps with values in dual-to-separable …
Monge-Kantorovich Fitting With Sobolev Budgets
We consider the problem of finding the``best''approximation of an $ n $-dimensional
probability measure $\rho $ using a measure $\nu $ whose support is parametrized by …
probability measure $\rho $ using a measure $\nu $ whose support is parametrized by …
Vector-valued Sobolev spaces based on Banach function spaces
N Evseev - Nonlinear Analysis, 2021 - Elsevier
It is known that there are several approaches to define a Sobolev class for Banach valued
functions. We compare the usual definition via weak derivatives with the Reshetnyak …
functions. We compare the usual definition via weak derivatives with the Reshetnyak …
Bochner Partial Derivatives, Cheeger-Kleiner Differentiability, and Non-Embedding
K Wildrick - arxiv preprint arxiv:2307.10857, 2023 - arxiv.org
Among all Poincar\'e inequality spaces, we define the class of Cheeger fractals, which
includes the sub-Riemannian Heisenberg group. We show that there is no bi-Lipschitz …
includes the sub-Riemannian Heisenberg group. We show that there is no bi-Lipschitz …