Several counterexamples are built for the two-weight bi-parameter Carleson embedding theorem.
Bellman function sitting on a tree
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abstract
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 bi-tree, where a different approach is explained.
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math.AP 1years
2019 1verdicts
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Counterexamples for bi-parameter Carleson embedding
Several counterexamples are built for the two-weight bi-parameter Carleson embedding theorem.