A matrix weighted $T1$ theorem for matrix kernelled Calderon Zygmund operators - I
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2014
- DOI:
- 10.48550/arXiv.1401.6570
- arXiv:
- arXiv:1401.6570
- Bibcode:
- 2014arXiv1401.6570I
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 42B20
- E-Print:
- This paper has been withdrawn, and has been split into the following two papers: arXiv:1508.02474 and arXiv:1507.04032