3 citations · 6 across the 2 of their papers we have counts for
3 papers
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…