Sharp A1 Weighted Estimates for Vector-Valued Operators
(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:
https://lup.lub.lu.se/record/94da2ac9-cf88-4616-8dd5-39c8af0545d1
- author
- Isralowitz, Joshua LU ; Pott, Sandra LU and Rivera-Ríos, Israel P. LU
- organization
- publishing date
- 2021
- 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< p< ∞, 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}}, }