January, 2023 An extension of the $\mathrm{VMO}$-$H^1$ duality
Satoshi YAMAGUCHI
Author Affiliations +
J. Math. Soc. Japan 75(1): 1-19 (January, 2023). DOI: 10.2969/jmsj/86688668

Abstract

In 1977, Coifman and Weiss gave a proof of the $\mathrm{VMO}$-$H^1$ 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.

Citation

Download Citation

Satoshi YAMAGUCHI. "An extension of the $\mathrm{VMO}$-$H^1$ duality." J. Math. Soc. Japan 75 (1) 1 - 19, January, 2023. https://doi.org/10.2969/jmsj/86688668

Information

Received: 15 March 2021; Revised: 14 June 2021; Published: January, 2023
First available in Project Euclid: 25 February 2022

MathSciNet: MR4539007
zbMATH: 1512.42038
Digital Object Identifier: 10.2969/jmsj/86688668

Subjects:
Primary: 42B35
Secondary: 42B30 , 46B10 , 46E35

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

Rights: Copyright ©2023 Mathematical Society of Japan

JOURNAL ARTICLE
19 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.75 • No. 1 • January, 2023
Back to Top