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Weak endpoint bounds for matrix weights

Cruz-Uribe, David ; Isralowitz, Joshua LU ; Moen, Kabe ; Pott, Sandra LU and Rivera-Rios, Israel P. LU (2021) In Revista Matematica Iberoamericana 37(4). p.1513-1538
Abstract

We prove quantitative, matrix weighted, endpoint estimates for the matrix weighted Hardy-Littlewood maximal operator, Calderon-Zygmund operators, and commutators of CZOs with scalar BMO functions, when the matrix weight is in the class A1 introduced by M. Frazier and S. Roudenko. Even in the scalar case, our estimates are sharper than the results implicit in the literature.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Calderon-Zygmund operators, Commutators, Matrix Ap, Matrix weights, Maximal operators, Sparse operators
in
Revista Matematica Iberoamericana
volume
37
issue
4
pages
26 pages
publisher
EMS Publishing House
external identifiers
  • scopus:85107584568
ISSN
0213-2230
DOI
10.4171/rmi/1237
language
English
LU publication?
yes
id
29b209c0-cb8d-41b8-90e6-1404afc9b490
date added to LUP
2021-07-06 12:03:41
date last changed
2022-04-27 02:42:03
@article{29b209c0-cb8d-41b8-90e6-1404afc9b490,
  abstract     = {{<p>We prove quantitative, matrix weighted, endpoint estimates for the matrix weighted Hardy-Littlewood maximal operator, Calderon-Zygmund operators, and commutators of CZOs with scalar BMO functions, when the matrix weight is in the class A1 introduced by M. Frazier and S. Roudenko. Even in the scalar case, our estimates are sharper than the results implicit in the literature.</p>}},
  author       = {{Cruz-Uribe, David and Isralowitz, Joshua and Moen, Kabe and Pott, Sandra and Rivera-Rios, Israel P.}},
  issn         = {{0213-2230}},
  keywords     = {{Calderon-Zygmund operators; Commutators; Matrix Ap; Matrix weights; Maximal operators; Sparse operators}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{1513--1538}},
  publisher    = {{EMS Publishing House}},
  series       = {{Revista Matematica Iberoamericana}},
  title        = {{Weak endpoint bounds for matrix weights}},
  url          = {{http://dx.doi.org/10.4171/rmi/1237}},
  doi          = {{10.4171/rmi/1237}},
  volume       = {{37}},
  year         = {{2021}},
}