Counterexamples for multi-parameter weighted paraproducts

We build the plethora of counterexamples to bi-parameter two weight embedding theorems. Two weight one parameter embedding results (which is the same as results of boundedness of two weight classical paraproducts, or two weight Carleson embedding theorems) are well known since the works of Sawyer in...

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Bibliographic Details
Main Authors: Mozolyako, Pavel, Psaromiligkos, Georgios, Volberg, Alexander
Format: Article
Language:English
Published: Académie des sciences 2020-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.52/