Two-weight commutator estimates

We provide an explicit technical framework for proving very general two-weight commutator estimates in arbitrary parameters. The aim is to both clarifyexisting literature, which often explicitly focuses on two parameters only, and toextend very recent results to the full generality of arbitrary para...

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Detalles Bibliográficos
Autor: Airta, Emil
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:225708
Acceso en línea:https://ddd.uab.cat/record/225708
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6422013
Access Level:acceso abierto
Palabra clave:Iterated commutators
Multi-parameter singular integrals
Bloom's in-equality
Product bmo
Weighted bmo
Little bmo
Descripción
Sumario:We provide an explicit technical framework for proving very general two-weight commutator estimates in arbitrary parameters. The aim is to both clarifyexisting literature, which often explicitly focuses on two parameters only, and toextend very recent results to the full generality of arbitrary parameters. More specif-ically, we study two-weight commutator estimates { Bloom type estimates { in themulti-parameter setting involving weighted product BMO and little BMO spaces,and their combinations.