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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.AP2021★ 3 cited
Improved surrogate bi-parameter maximum principle
Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg +1
Logarithmic potentials and many other potentials satisfy maximum principle. The dyadic version of logarithmic potential can be easily introduced, it lives on dyadic tree and also s…