107 citations · 182 across the 11 of their papers we have counts for
16 papers
Dyadic bi-parameter repeated commutator and dyadic product BMO
Irina Holmes, Sergei Treil, Alexander Volberg
Consider a tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter repeated commutator its norm can be estimated from below by Chang-Feffer…
Dyadic bi-parameter simple commutator and dyadic little BMO
Irina Holmes, Sergei Treil, Alexander Volberg
Let $\bfT$ is a certain tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter commutator the following equivalence holds $ \|\bfT b-b \bf…
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…
Obstacle problems generated by the estimates of square function
I. Holmes, A. Volberg
In this note we give the formula for the Bellman function associated with the problem considered by B. Davis in \cite{Davis} in 1976. In this article the estimates of the type $\|S…
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…