8 citations · 12 across the 5 of their papers we have counts for
5 papers
A variational proof of a disentanglement theorem for multilinear norm inequalities
Anthony Carbery, Timo S. Hänninen, Stefán Ingi Valdimarsson
The basic disentanglement theorem established by the present authors states that estimates on a weighted geometric mean over (convex) families of functions can be disentangled into…
Disentanglement, Multilinear Duality and Factorisation for non-positive operators
Anthony Carbery, Timo S. Hänninen, Stefán Ingi Valdimarsson
In previous work we established a multilinear duality and factorisation theory for norm inequalities for pointwise weighted geometric means of positive linear operators defined on…
Multilinear Duality and Factorisation for Brascamp-Lieb-type Inequalities with applications
Anthony Carbery, Timo S. Hänninen, Stefán Ingi Valdimarsson
We initiate the study of a duality theory which applies to norm inequalities for pointwise weighted geometric means of positive operators. The theory finds its expression in terms…
Colouring multijoints
Anthony Carbery, Stefán Ingi Valdimarsson
Let L_1, ..., L_d be pairwise disjoint collections of lines in a d-dimensional vector space over some field. If the collections are sufficiently generic we prove that there exists…
The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem
Anthony Carbery, Stefan Ingi Valdimarsson
We give an essentially self-contained proof of Guth's recent endpoint multilinear Kakeya theorem which avoids the use of somewhat sophisticated algebraic topology, and which instea…