4 citations · 12 across the 4 of their papers we have counts for
3 papers · 1 filter
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…
Bi-parameter embedding and measures with restriction energy condition
Nicola Arcozzi, Irina Holmes, Pavel Mozolyako +1
Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt, and Giulia Sarfatti recently gave the proof of a bi-parameter Carleson embedding theorem. Their proof uses heavily the notion…
Bellman function sitting on a tree
Nicola Arcozzi, Irina Holmes, Pavel Mozolyako +1
In this note we give a proof-by-formula of certain important embedding inequalities on dyadic tree. This is done with the help of Bellman function. We also consider the case of a b…