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Sharp A1 Weighted Estimates for Vector-Valued Operators

Isralowitz, Joshua LU ; Pott, Sandra LU and Rivera-Ríos, Israel P. LU (2021) In Journal of Geometric Analysis 31(3). p.3085-3116
Abstract

Given 1 ≤ q< p< ∞, quantitative weighted Lp estimates, in terms of Aq weights, for vector-valued maximal functions, Calderón–Zygmund operators, commutators, and maximal rough singular integrals are obtained. The results for singular operators will rely upon suitable convex body domination results, which in the case of commutators will be provided in this work, obtaining as a byproduct a new proof for the scalar case as well.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Calderón–Zygmund operators, Commutators, Matrix Ap weights, Maximal function, Maximal rough singular integral, Quantitative weighted estimates, Vector-valued operators
in
Journal of Geometric Analysis
volume
31
issue
3
pages
3085 - 3116
publisher
Springer
external identifiers
  • scopus:85081538257
ISSN
1050-6926
DOI
10.1007/s12220-020-00385-3
language
English
LU publication?
yes
id
94da2ac9-cf88-4616-8dd5-39c8af0545d1
date added to LUP
2020-04-10 17:04:39
date last changed
2022-04-18 21:34:51
@article{94da2ac9-cf88-4616-8dd5-39c8af0545d1,
  abstract     = {{<p>Given 1 ≤ q&lt; p&lt; ∞, quantitative weighted L<sup>p</sup> estimates, in terms of A<sub>q</sub> weights, for vector-valued maximal functions, Calderón–Zygmund operators, commutators, and maximal rough singular integrals are obtained. The results for singular operators will rely upon suitable convex body domination results, which in the case of commutators will be provided in this work, obtaining as a byproduct a new proof for the scalar case as well.</p>}},
  author       = {{Isralowitz, Joshua and Pott, Sandra and Rivera-Ríos, Israel P.}},
  issn         = {{1050-6926}},
  keywords     = {{Calderón–Zygmund operators; Commutators; Matrix Ap weights; Maximal function; Maximal rough singular integral; Quantitative weighted estimates; Vector-valued operators}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{3085--3116}},
  publisher    = {{Springer}},
  series       = {{Journal of Geometric Analysis}},
  title        = {{Sharp A<sub>1</sub> Weighted Estimates for Vector-Valued Operators}},
  url          = {{http://dx.doi.org/10.1007/s12220-020-00385-3}},
  doi          = {{10.1007/s12220-020-00385-3}},
  volume       = {{31}},
  year         = {{2021}},
}