Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition

In this paper some new results concerning the C<sub>p</sub> classes introduced by Muckenhoupt (1981) and later extended by Sawyer (1983), are provided. In particular, we extend the result to the full expected range p < 0, to the weak norm, to other operators and to their vector-valued...

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Autores principales: Cejas, María Eugenia, Li, Kangwei, Pérez, Carlos, Rivera Ríos, Israel Pablo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Matemática
Ap weights
quantitative estimates
Cp estimates
vector-valued extensions
sparse domination
maximal functions
Calderón-Zygmund operators
commutators
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125189
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125189
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Ap weights
quantitative estimates
Cp estimates
vector-valued extensions
sparse domination
maximal functions
Calderón-Zygmund operators
commutators
spellingShingle Ciencias Exactas
Matemática
Ap weights
quantitative estimates
Cp estimates
vector-valued extensions
sparse domination
maximal functions
Calderón-Zygmund operators
commutators
Cejas, María Eugenia
Li, Kangwei
Pérez, Carlos
Rivera Ríos, Israel Pablo
Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition
topic_facet Ciencias Exactas
Matemática
Ap weights
quantitative estimates
Cp estimates
vector-valued extensions
sparse domination
maximal functions
Calderón-Zygmund operators
commutators
description In this paper some new results concerning the C<sub>p</sub> classes introduced by Muckenhoupt (1981) and later extended by Sawyer (1983), are provided. In particular, we extend the result to the full expected range p < 0, to the weak norm, to other operators and to their vector-valued extensions. Some of those results rely upon sparse domination, which in the vector-valued case are provided as well. We will also provide sharp weighted estimates for vector-valued extensions relying on those sparse domination results.
format Articulo
Preprint
author Cejas, María Eugenia
Li, Kangwei
Pérez, Carlos
Rivera Ríos, Israel Pablo
author_facet Cejas, María Eugenia
Li, Kangwei
Pérez, Carlos
Rivera Ríos, Israel Pablo
author_sort Cejas, María Eugenia
title Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition
title_short Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition
title_full Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition
title_fullStr Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition
title_full_unstemmed Vector-valued operators, optimal weighted estimates and the C<sub>p</sub> condition
title_sort vector-valued operators, optimal weighted estimates and the c<sub>p</sub> condition
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/125189
work_keys_str_mv AT cejasmariaeugenia vectorvaluedoperatorsoptimalweightedestimatesandthecsubpsubcondition
AT likangwei vectorvaluedoperatorsoptimalweightedestimatesandthecsubpsubcondition
AT perezcarlos vectorvaluedoperatorsoptimalweightedestimatesandthecsubpsubcondition
AT riverariosisraelpablo vectorvaluedoperatorsoptimalweightedestimatesandthecsubpsubcondition
bdutipo_str Repositorios
_version_ 1764820451355262976

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