An extension of the VMO-𝐻1 duality

Satoshi Yamaguchi

doi:10.2969/jmsj/86688668

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

An extension of the VMO-𝐻¹ duality

Satoshi Yamaguchi

Author information

Keywords: Campanato space, atomic Hardy space, duality, vanishing mean oscillation

JOURNAL RESTRICTED ACCESS

2023 Volume 75 Issue 1 Pages 1-19

DOI https://doi.org/10.2969/jmsj/86688668

Details

Abstract

In 1977, Coifman and Weiss gave a proof of the VMO-𝐻¹ duality. We consider generalized Campanato spaces and atomic Hardy spaces with variable growth condition and give an extension of the duality to these spaces. We also apply this duality to the Riesz transforms.

Content from these authors

This article cannot obtain the latest cited-by information.

Favorites & Alerts

Corresponding author

Register with J-STAGE for free!