Matrix A_p weights via maximal functions

Michael Goldberg

Vol. 211 (2003), No. 2, 201–220

DOI: 10.2140/pjm.2003.211.201

Abstract

The matrix A_p condition extends several results in weighted norm theory to functions taking values in a finite-dimensional vector space. Here we show that the matrix A_p condition leads to L^p-boundedness of a Hardy-Littlewood maximal function, then use this estimate to establish a bound for the weighted L^p norm of singular integral operators.

Milestones

Received: 30 July 2001

Revised: 28 May 2002

Published: 1 October 2003