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math.AP2019
Counterexamples for bi-parameter Carleson embedding
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg
We build here several counterexamples for two weight bi-parameter Carleson embedding theorem.
math.AP2019
Bi-parameter Carleson embeddings with product weights
Nicola Arcozzi, Pavel Mozolyako, Georgios Psaromiligkos +2
Coifman--Meyer multipliers represent a very important class of bi-linear singular operators, which were extensively studied and generalized. They have a natural multi-parameter cou…
math.CA2019★ 3 cited
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…