We show that the class of Lipschitz-free spaces over closed subsets of any complete metric
space M is closed under arbitrary intersections, improving upon the previously known finite …

Paths of persistence diagrams provide a summary of the dynamic topological structure of a
one-parameter family of metric spaces. These summaries can be used to study and …

The present paper deals with some structural properties of transportation cost spaces, also
known as Arens-Eells spaces, Lipschitz-free spaces and Wasserstein spaces. The main …

It is difficult to reconstruct the complete light field, and the reconstructed light field can only
recognize specific fixed targets. These have limited the applications of the light field in …

Compared with traditional imaging, the light field contains more comprehensive image
information and higher image quality. However, the available data for light field …

We prove in particular that the Lipschitz-free space over a finite-dimensional normed space
is complemented in its bidual. For Euclidean spaces the norm of the respective projection is …

We show that the space Lip_0(\mathbbR^n) is the dual space of L^1(\mathbbR^n;\mathbbR^
n)/N where N is the subspace of L^1(\mathbbR^n;\mathbbR^n) consisting of vector fields …

In this paper we establish that the set of Lipschitz functions f:U→R (U a nonempty open
subset of d^1) with maximal Clarke subdifferential contains a linear subspace of …

We use a special tiling for the hyperbolic $ d $-space $\mathbb {H}^ d $ for $ d= 2, 3, 4$ to
construct an (almost) explicit isomorphism between the Lipschitz-free space $\mathcal …

The paper is devoted to isometric Banach-space-theoretical structure of transportation cost
(TC) spaces on finite metric spaces. The TC spaces are also known as Arens-Eells, Lipschitz …