A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I

Joshua Isralowitz; Hyun Kyoung Kwon; Sandra Pott

A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I

Classical Analysis and ODEs 2017-03-20 v2

Authors: Joshua Isralowitz , Hyun Kyoung Kwon , Sandra Pott

Abstract

In this series of two papers, we will prove a natural matrix weighted $T1$ theorem for matrix kernelled CZOs. In the current paper, we will prove matrix weighted norm inequalities for matrix symbolled paraproducts via a general matrix weighted Carleson embedding theorem. Along the way, we will also provide a stopping time proof of the identification of $L^p(W)$ as a weighted Triebel-Lizorkin space when $W$ is a matrix A ${}_p$ weight.

Keywords

matrix weighted $T1$ theorem Calderón-Zygmund operators matrix kernel paraproducts Carleson embedding theorem matrix $A_p$ weight Triebel-Lizorkin space

Cite

@article{arxiv.1401.6570,
  title  = {A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I},
  author = {Joshua Isralowitz and Hyun Kyoung Kwon and Sandra Pott},
  journal= {arXiv preprint arXiv:1401.6570},
  year   = {2017}
}

Comments

This paper has been withdrawn, and has been split into the following two papers: arXiv:1508.02474 and arXiv:1507.04032

A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I

Abstract

Keywords

Cite

Comments

Related papers