10 citations · 31 across the 14 of their papers we have counts for
4 papers · 1 filter
Some properties related to trace inequalities for the multi-parameter Hardy operators on poly-trees
Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt
In this note we investigate the multi-parameter Potential Theory on the weighted -tree (Cartesian product of several copies of uniform dyadic tree), which is connected to the di…
Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc
Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt +1
We characterize the Carleson measures for the Dirichlet space on the bidisc, hence also its multiplier space. Following Maz'ya and Stegenga, the characterization is given in terms…
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…