3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Oscillation of Functions in the Hölder class
Pavel Mozolyako, Artur Nicolau
We study the size of the set of points where the -divided difference of a function in the Hölder class is bounded below by a fixed positive constant. Our results are obtai…
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…