3 citations · 7 across the 6 of their papers we have counts for
6 papers
Pinned nonempty interior and volumes of simplices
Eyvindur Ari Palsson, Georgios Psaromiligkos
We study pinned nonempty-interior problems for scalar two-point configurations and for volumes of simplices. For , , compact and a smooth scalar conf…
On restricted Falconer distance sets
José Gaitan, Allan Greenleaf, Eyvindur Ari Palsson +1
We introduce a class of Falconer distance problems, which we call of restricted type, lying between the classical version and its pinned variant. Prototypical restricted distance s…
Multi-parameter Carleson embeddings for on or for on , and why the proofs fail
P. Mozolyako, G. Psaromiligkos, A. Volberg
This note contains a plethora of counterexamples to attempts to generalize the results of bi-parameter embedding from case to either or . This is in striking diffe…
Improved surrogate bi-parameter maximum principle
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg +1
Logarithmic potentials and many other potentials satisfy maximum principle. The dyadic version of logarithmic potential can be easily introduced, it lives on dyadic tree and also s…
Carleson embedding on tri-tree and on tri-disc
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg +1
We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces in bi-disc and tri-disc this proves…
A comparison of box and Carleson conditions on bi-trees
Irina Holmes, Georgios Psaromiligkos, Alexander Volberg
In this note we give an example of measure satisfying the box condition on certain sub-bi-trees (see below) but not satisfying Carleson condition on those sub-bi-trees. This can be…