location:  Publications → journals → CMB
Abstract view

# Weak Factorizations of the Hardy space $H^1(\mathbb{R}^n)$ in terms of Multilinear Riesz Transforms

Published:2017-06-21
Printed: Sep 2017
• Ji Li,
Department of Mathematics, Macquarie University, NSW, 2109, Australia
• Brett D. Wick,
Department of Mathematics, Washington University-St. Louis, St. Louis, MO 63130-4899 USA
 Format: LaTeX MathJax PDF

## Abstract

This paper provides a constructive proof of the weak factorization of the classical Hardy space $H^1(\mathbb{R}^n)$ in terms of multilinear Riesz transforms. As a direct application, we obtain a new proof of the characterization of ${\rm BMO}(\mathbb{R}^n)$ (the dual of $H^1(\mathbb{R}^n)$) via commutators of the multilinear Riesz transforms.
 Keywords: Hardy space, BMO space, multilinear Riesz transform, weak factorization
 MSC Classifications: 42B35 - Function spaces arising in harmonic analysis 42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.)

 top of page | contact us | privacy | site map |