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math.CA2021
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…
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…